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.