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`