For x. All the right triangles are similar, so .. hypotenuse/(short side) = x/6 = 6/(x -9) Multiplying by the product of denominators gives .. x(x -9) = 36 Two factors of 36 that differ by 9 are 12 and 3, so we have .. x = 12
For y, we can use the Pythagorean theorem. y^2 +6^2 = 12^2 y^2 = 144 -36 = 108 y = √108 = √(36*3) y = 6√3
