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Find the measure of CP

Find The Measure Of CP class=

Sagot :

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

[tex]\angle PAB\cong \angle PCB[/tex]            (Given right angles)

[tex]\angle ABP\cong \angle CBP[/tex]            (Given)

[tex]BP=BP[/tex]            (Common side)

Now,

[tex]\Delta ABP\cong \Delta CBP[/tex]        (By AAS property of congruence)

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

[tex]AP=CP[/tex]

[tex]8=CP[/tex]

Therefore, the measure of CP is 8 units.

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