Find the measure of CP

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

           (Given right angles)

           (Given)

           (Common side)

Now,

       (By AAS property of congruence)

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

Therefore, the measure of CP is 8 units.

So,

We can visualize skydivers A, X, and B as corresponding to three coordinates -2.5, 0, and 0.5, respectively.

To find the distance from A to B, we can just take the absolute value of the different between their coordinates.

|-2.5 - 0.5| <-- this is the expression

|-2.5 - 0.5| = |-3| = 3 <-- this is the distance