we have two responses for you

William,

I have two methods to suggest. One is to use Pythagoras' Theorem and some algebra. This method is illustrated in the answer I gave to Sharon in response to a question she asked last year. The second method uses Heron's formula. Heron's formula shows you how to find the area of a triangle from the lengths of the three sides. Use Heron's formula to find the area A of your triangle. You also know that the area is half the base times the height and since you have a base of 15

A = 1/2 ×15 × height.

Solve for the height.

I hope this helps,
Penny

Hi William

Hi William.

If you use the Pythagorean Theorem for each right triangle and solve each for y², you can come up with an equation with just x in it and solve for x either by factoring or by using the Quadratic Formula. Then you can use that value of x to find y.

Cheers,
Stephen La Rocque.