Question

triangle ABC is isosceles. Side AB=AC and AD is perpendicular to BC. Prove that angle B = Angle C​

Answer 1

Given : AB=AC and AD is perpendicular

To prove : Angle B = angle C

In a isoceles triangle the angles opposite to equal sides are equal.

Hence, it is proved the angle B=angle C

Answer 2

Step-by-step explanation:

For triangle ABD and ACD,

AB=AC(Given)

angle ADB=angle ADC (Each=90°)

AD=DA (Common)

Hence,triangle ABD is congruent to triangle ACD (By SAS axiom)

hence,angle B=angle C (By cpct)

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