Question

Hello! I'm taking geometry and any help would be appreciated!​

Answer 1

Answer:
`4√(26)`

Explanation:

This is a rather tricky question at first, but it's easy when you figure out the trick.

The key here is using the Pythagorean theorem twice.

We see that the big triangle is divided by its height into two smaller ones.

First, use the Pythagorean theorem on the triangle on the left to find the height.

height =
`√(80-64)=√(16) =4`

Now that we know the height is 4, we can use the Pythagorean theorem on the triangle on the right to find x.

x =
`\sqrt{20^(2)+4^(2) } =√(416) = 4√(26)`

And there we have our final answer.