Question

Find the value of x.

Answer 1

x = 100

Explanation:

The ratios of long side to hypotenuse are the same for all these triangles.

x/(x+10) = (x+10)/(x+21)

x^2 +21x = x^2 +20x +100 . . . . . multiply by (x+10)(x+21), expand

x = 100 . . . . . . . . . . . . . . . . subtract x^2 +20x