No products in the cart.

Q.24 Prove that angles opposite to …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Q.24 Prove that angles opposite to equal sides of a triangle are equal

Posted by Marh Power 1 year, 10 months ago

Preeti Dabral 1 year, 10 months ago

ABC is a given triangle with, AB=AC.

To prove: Angle opposite to AB= Angle
opposite to AC (i.e) ∠C=∠B

Construction: Draw AD perpendicular to BC
∴∠ADB=∠ADC=90^o

Proof:
Consider △ABD and △ACD

AD is common

AB=AC

∴∠ADB=∠ADC=90^o

Hence ∠ABD=∠ACD
∠ABC=∠ACB
∠B=∠C. Hence the proof
This is known as Isosceles triangle theorem

ANSWER

Related Questions

The polynomial of the type ax²+bx+c,a=0 is called

Posted by Gnani Yogi 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

What is 38747484±393884747

Posted by Alvin Thomas 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

Posted by Kirshika Ganesh 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

X³-12x²+39x-28

Posted by Sukhi Devasi 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

Ch-1 introduction

Posted by Sheikh Alfaz 1 month, 1 week ago

CBSE > Class 09 > Mathematics

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Posted by T Prudhvi 1 month ago

CBSE > Class 09 > Mathematics