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2026.08.24 19:55

SSA is enough to construct a unique triangle ? ?

  • SMP~MATHS 오래 전 2026.08.24 19:55 인기
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smpmaths #pandeysir #iit #jee #olympiads #mathematics.
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    @Lekhraj-vh8qv  오래 전

    SSA में required प्वाइंट यूनीक की बजाय दो distinct प्वाइंट होंगे।

    2026-08-24 21:04

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    @nirmalsahay710…  오래 전

    Agar arc ko produce kare to again theta angel wali ray ko meet karega matalab ek aur triangle milne ki possibility hai

    2026-08-24 21:01

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    @Mahesh-x6f  오래 전

    Sir pls upload a video on extension of exponent,  multiplication, fractions and division. it crete confusion ??

    2026-08-24 21:00

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    @narendrasinghc…  오래 전

    Because ये x किसी भी angle के साथ थीटा angle वाली लाइन के साथ मिल रही है......इसलिए हमें दो साइड के बीच वाला angle जानना जरूरी होता है .

    2026-08-24 20:29

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    @SaritaSingh-dn…  오래 전

    Actually SSA is a rule if the first side S is greater than the second side S making it cutting at aunoque point
    And also sir I am scoring only 18-19 in my ioqm mock test what should I do?

    2026-08-25 03:33

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    @nikhilbhiwandk…  오래 전

    Yeh issiliye possible nahi h kyu ki jab hum dusra triangle construct karenge tab AC par Arc do cut karega kis bhi diye gaye point se bola jaye ek fixed lenght ke arc bano to woh ek line ko do baar cut karta h joki 2 triangle dega
    Isko ek aur tarike mein bhi disprove kar sakte h yah pe AB aur BC ki lenght fix h magar AC aur Angle B ko fix nahi kiya gaya toh tarha hum infinitly many triangle bana payenge AB BC aur angle C se jisme hum AC aur angle B ko infinitely draw kar sakte h considering triangle inequalities

    Mushkil nahi tha isse samjhana ???

    2026-08-25 03:15

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    @DRSbydevyansh  오래 전

    Firstly make the arc into a full circle. Now there are two cases:
    1. The line, which makes the angle theta with the base, either cuts it at one point or two points or two distinct points. In the first case when the line is tangential to the circle, it follows that the angle of interaction would be 90° and hence in a right-angled triangle SSA is satisfied. SSA is also called RHS. SSA is applicable in right-angled triangles and we study it as RHS.
    2. When it is secant to the circle there are two possible conflicting possibilities so you can't guarantee the formation of a single triangle.


    Also note that this reasoning is to be considered without loss of generality: The other length considered given to be as the radius of the circle is smaller than the base.

    2026-08-25 02:44

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    @nishanhaque182…  오래 전

    Arc will cut AC two times so there are possibilities of two triangle

    2026-08-25 01:01

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    @SuphalSoren-i8…  오래 전

    Agar ak triangle ke 2 sides equal hain to unke opposite ange vi equal honge and un 2 sides ke common point se third side pr ek line khichne se main triangle ke ander two triangle banenge jo SSA rule to follow karenge lekin congruent nahi honge

    Aur is case me ye 'x' radius wala arc ray ko 2 points me vi kat sacta hain ????

    2026-08-24 23:28

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    @RocksGamer-n9m  오래 전

    Sir start a batch ????

    2026-08-24 23:10

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    @kulpreethoney5…  오래 전

    Because SAS already covered SSA?

    2026-08-24 22:48

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    @anandwardhan81…  오래 전

    Cut kis jagah lagaya jaye uss compass se vo aap nhi bata skte. Mtlb kis angle pe incline kar k us ray pe cut lagayein ye isse nhi bata skte hain

    2026-08-24 21:18

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:12

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:12

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:12

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:12

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:12

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:12

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

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    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

    profile_image
    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

    profile_image
    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

    profile_image
    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

    profile_image
    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

    profile_image
    @AashaNirmalkar…  오래 전

    This channel gives me stress and how he teaching. Worst teacher in the world, he want to show that he enjoying mathematics but everyone knows he doesn't enjoy mathematics even he is acting to make it interesting. I know because there are many people who did the same as he doing.

    2026-08-25 21:11

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    @intutive-s4v  오래 전

    We can get another triangle as theta will be there

    2026-08-25 20:54

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    @narayandas9728  오래 전

    This law is false as the angle B

    The x length is possible both upward or downward

    2026-08-25 19:50

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    @kartikyadav684…  오래 전

    Do cut mil jayenge ray par

    2026-08-25 14:26

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    @anshuartsandvl…  오래 전

    Value of angle abc is more than 2 like it will cut the ray ac many times because the angle is not mentioned

    2026-08-25 13:18

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    @YashDerle-k5e  오래 전

    ?? Sir jab ham triangle par congruence tests apply karte hai tab koi bhi two or more triangles congruent ho sakte hai ya nahi ye check karte hai  congruency test main hidden bat hoti hai ----(SAS test here A is angle between two sides  sss test then s is sequential side between two sides .)!Therefore, in the case of SSA case for a triangle not a side possible between a side and an angle. Therefore ssa test is not the congruence test. It is only for the construction of the triangle. means all the congruence tests of the triangle are cases of construction of triangle but all cases of construction of the triangle are not the cases of the Congruence of the triangle. Only the cases are the tests of the congruence of triangle which satiesfies the condition(.......)! ??

    2026-08-25 11:59

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    @solblaze96  오래 전

    Forget construction and triangle rule; this is basic circle and secant line rule

    ?? Draw a circle centered at B with any given radius of your choice. Place point A outside the circle and connect AB

    ?? From point A, draw a ray at a fixed angle so that it acts as a secant line passing through the circle.

    ?? The ray cuts the circle at two distinct points (name it C and C'). Because BC = BC' = radius... connecting B to both points produces two completely different, noncongruent triangles (∆ABC and ∆ ABC') despite having identical SSA values.

    2026-08-25 21:27

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    @NewCreativeIde…  오래 전

    In these triangles included angle can be different so it not possible to congruent theme, if the corresponding included angle or third side of these triangles equal then these are congruent with SAS or SSS , respectively.

    2026-08-26 14:09

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    @PixelNomad99  오래 전

    Sir, many others have given the correct geometrical answer, but I'll demonstrate it through trigonometry. In the concerned triangle, if we apply sine rule on x,y and theta, we will get the value of sine of the angle opposite to y so we may think that now we can get the other angle by angle sum property and then the remaining side using the cosine rule. But there is a catch to this, the sine of an angle is not unique from 0° to 180° except at 90° because sin(x)=sin(180-x), so we will get 2 values for the angle and there will be 2 such triangles so it will not be a criterion for congruence. Geometrically, this means the arc will intersect the circle twice. Now remember the special case at 90°, we can say that SSA criterion works there but we just give it another name that is the RHS congruence criterion.


    Sir, I thought of the very same problem when I was in 7th grade in the chapter on congruence and it took me a few days but I finally understood the reason. I didn't even ask my teachers in school because of hesitation as no student ever asks deep conceptual questions to a teacher in school. So I understood the reason myself through YouTube and deductive reasoning. Now, I'm in 11th grade and preparing for JEE and I really appreciate your work for the young minds as they're not taught properly at school and just view maths and other subjects as a burden from society which is why we get so many horrible reports of students harming themselves among other things. Sir I would really appreciate your reply as I have been a viewer of your channel since you had only a thousand subscribers.

    2026-08-27 12:47