Question

Using similarity solve for x? Show all work

Answer 1

`x = 15` cm

Explanation:

Let's look at where our right angles are. The big right triangle has a hypotenuse of `25` cm and a leg measuring `x`. One of the smaller triangles has a hypotenuse measuring `x` and a leg measuring `9 cm`. Thus

`x/9 = 25/x`

`x^2 = 225`

`x = 15`

Hopefully this helps!