A line intersects sides PQ and PR of ∆ PQR at A and B, respectively, and is parallel to QR, as shown in the figure. Prove that AP/PQ= BR/PR

Question

A line intersects sides PQ and PR of ∆ PQR at A and B, respectively, and is parallel to QR, as shown in the figure. Prove that AP/PQ= BR/PR
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Solution 1

To prove AP/PQ = BR/PR, we can use the concept of similar triangles.

Step 1: Identify the triangles In the given figure, we can identify two triangles: Triangle APQ and Triangle BRP.

Step 2: Prove the triangles are similar Since the line AB is parallel to QR, by the Alternate Interior Angles Theo Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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