Thread: Isosceles Triangle ABC

Given: Isosceles triangle ABC with segment AB congruent to segment AC, and line CD is perpendicular to AB.

Prove: Segment BC multiplied by segment BC is equal to two times Segment AB multiplied by Segment BD.

Hello sologuitar

Originally Posted by sologuitar

Given: Isosceles triangle ABC with segment AB congruent to segment AC, and line CD is perpendicular to AB.

Prove: Segment BC multiplied by segment BC is equal to two times Segment AB multiplied by Segment BD.

Using Pythagoras' Theorem on :

, since (given)



... (1)

And using Pythagoras' Theorem on :

, from (1)

Grandad