Question

Prove that “Angle opposite to equal sides of an isosceles triangle are equal​

Answer 1

Step-by-step explanation:

given :- isosceles triangle abc

i.e ab =ac

to prove :-. <b =<c

construction :- draw a bisector of <a intersectiong bc at d

proof :-

in ∆bad and ∆cad

ab = ac. (given )

<bad=< cad ( by construction)

ad = ad (common)

∆bad =~ ∆cad (by sas congruence rule )