Question

Find the length of x

Answer 1

x = 3

Explanation:

Hi there!

1) Prove similarity

The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.

2) Solve for x

Now, we can set up a proportion to solve for x:

`(x)/(4) =(4.5)/(6) \\x=(4.5)/(6) *4\\x=3`

Therefore, x is 3 units long.

I hope this helps!