Question

In the figure below, find the exact value of z. (do not approximate your answer)

Answer 1

√35

Explanation:

The right triangles are all similar, so the ratios of long leg to hypotenuse are the same for all:

z/7 = 5/z

z² = 35 . . . . multiply by 7z

z = √35

Answer 2

√35

Explanation:

The right triangles are all similar, so the ratios of long leg to hypotenuse are the same for all:

z/7 = 5/z

z² = 35 . . . . multiply by 7z

z = √35