Question

In the given figure,ABC is an isosceles triangle with AB=AC and AP is the bisector of angle A . i) Name the two triangles which are congruent? ii) Is BP=PC?
Figure is given below:-​

Answer 1

Answer:

ln ∆ABP and ∆ACP :

AB =AC (given)

angle BAP =angle CAP (AP is bisector )

AP =AP (common)

∆ABP congruent ∆ACP (SASrule)

BP=PC (C. P. C. T)

Answer 2

Step-by-step explanation:

(i)

in angle ABP equal angle ACP

AP equal AC (given)

AP equal AP (common side)

angle ABP corresponding angle ACP (by SAS congruent rule)

(ii)

BP equal PC. (C.P.C.T)