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.
