Question

in the adjoining figure,triangle ABC is an isosceles triangle in which AB=AC and AD is a bisector of angle A . PROVE THAT 1. triangle ADB ≅ triangle ADC 2..angle B = angleC 3.BD=DC

Answer 1

Step-by-step explanation:

(i)In triangle ADB and ADC,

AB =AC(Given)

angle BAD =angle BAC(since AD is the bisector of angle A)

AD= AD (Common side)

therefore, triangle ADB is congruent to triangle ADC(SAS rule)

(ii) angle B=angleC (CPCT)

(iii) BD= DC

Answer 2

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