Question

Find the missing length indicated

Answer 1

x = 144.

Explanation:

Since the side length bisects the right angle of the largest triangle, all three triangles are similar.

To find the length of x, we need to find the smaller side of the middle triangle, which is also the longer side of the smallest triangle. To find what the length of it is, we use a^2 + b^2 = c^2.

25^2 + b^2 = 65^2

b^2 = 4225 - 625

b^2 = 3600

sqrt(b^2) = sqrt(3600)

b = 60

Now that we know the length of the smaller side of the middle triangle, we can set up the following proportion...

`(25)/(60)=(60)/(x)`

x * 25 = 60 * 60

25x = 3600

x = 144

Hope this helps!