Question

ABC is an isosceles triangle with ab is equal to AC draw AP prepandicular BC to show that angle b is equal to C

Answer 1

GIVEN,
ABC is an isosceles triangle with
AP=AC
AP perpendicular BC

proof
In triangle ABC
AB=AC
angle ACB=ABC...........(1)
AB=AC
angleABP=ACP
angle APB=ACP.........(90°)
TRIANGLE APB CONGURANCE APC
angleABP=angleACP
angleB=angleC


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Answer 2

Hello mate ^_^

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Solution:

In △ABP and △ACP

AB=AC        (Given)

∠APB=∠APC          (Each equal to 90°)

AP=AP        (Common)

Therefore, by RHS congruence rule, △ABP≅△ACP

Hence, ∠B=∠C            (Corresponding parts of congruent triangles are equal)

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