Question

Find the value of x.

Answer 1

9514 1404 393

Answer:

(b) 48

Explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

x = √(36·64) = √36×√64 = 6×8

x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

short side/long side = x/64 = 36/x

x^2 = (64)(36) . . . . as above