Question

show that in an isosceles triangle,angle opposite to equal sides are equal

​

Answer 1

Answer:

Step-by-step explanation:

attatchment below

Answer 2

Step-by-step explanation:

Given:Isosceles triangle ABC

i.e., AB=AC

To prove:∠B=∠C

Construction:Draw a bisector of ∠A intersecting BC at D.

Proof:In △BAD and △CAD

AB=AC(given)

∠BAD=∠CAD by construction

AD=AD(common)

∴△BAD≅△CAD by SAS congruence rule.

Thus, ∠ABD=∠ACD by CPCT

⇒∠B=∠C

Hence, angles opposite to equal sides are equal.

Hence proved.

Hope my explanation helps u.