In triangle ABC, angle A = angle C, and AB = AC. D is a point on side AC such that BD is perpendicular to AC. Prove that triangle ABD is isosceles.
Question
Solution 1
To prove that triangle ABD is isosceles, we need to show that AD = BD.
Given that triangle ABC is isosceles (since AB = AC and angle A = angle C), we know that the base angles of an isosceles triangle are equal. Therefore, angle ABC = angle ACB.
Since BD is perpendicular to AC, angle ABD = angle A Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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