Question

Find the missing length indicated

Answer 1

x = 25.

Explanation:

Since the side of the triangle that is labeled as 60 units bisects the right angle of the largest triangle, we can say that the smallest triangle, medium triangle, and largest triangle are all similar.

Since the smaller length of the middle triangle corresponds to x, and the longer length of the middle triangle (144) corresponds to the longer length of the smaller triangle (60), we can set up a proportion!

`(x)/(60) =(60)/(144)`

144 * x = 60 * 60

144x = 3600

2x = 50

x = 25

Hope this helps!