Question

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

Answer 1

For this case, we know that:

$PA = PB$

Then, by Pythagorean theorem (right triangle on the right) we have:

$CP ^ 2 = CB ^ 2-PB ^ 2$

So, again using the Pythagorean theorem (right triangle on the left) we have:

$CA ^ 2 = CP ^ 2 + PB ^ 2$

Substituting values:

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

Rewriting:

$CA ^ 2 = CB ^ 2$

$CA = CB$

$CA = 15$

Answer:

The value of CA is given by:

$CA = 15$