Question

Solve for x and y be sure to show your work

Answer 1

x = 3√7.

y = 12.

Explanation:

The 2 triangles are similar so:

x/9 = 7/x

x^2 = 63

x = √63

= 3√7.

By Pythagoras' theorem

y^2 = 9^2 + (3√7)^2

= 81 + 63

= 144

y = 12.