Question

Find the measure of CP

Answer 1

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.