Find the measure of CP

Question

asked Sep 11, 2022 7.4k views

1 Answer

Nee · Answer 1 · 2022-09-15T05:28:23+0000

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

$\angle PAB\cong \angle PCB$ (Given right angles)

$\angle ABP\cong \angle CBP$ (Given)

BP=BP (Common side)

Now,

$\Delta ABP\cong \Delta CBP$ (By AAS property of congruence)

We know that the corresponding parts of congruent triangles are congruent.

AP=CP

8=CP

Therefore, the measure of CP is 8 units.