Question

Hello please help me with this I need an answer immediately thank you so much see image

Answer 1

We know that:

`PA = PB = 15`

Using the Pythagorean theorem in the right triangle on the right we have:

`CP ^ 2 = CB ^ 2-PB ^ 2`

Then, again using the Pythagorean theorem in the right triangle on the left we have:

`CA ^ 2 = CP ^ 2 + PB ^ 2`

Substituting values:

`CA ^ 2 = (CB ^ 2-PB ^ 2) + PB ^ 2`

Rewriting the expression:

`CA ^ 2 = CB ^ 2`

`CA = CB`

`CA = 15`

Answer:

The value of CA is given by:

`CA = 15`