Question

Please Help what is x

Answer 1

My answer would be x is equal to 8 check 2

Answer 2

Answer: x=
`8√(2)`

Explanation:

There are special right triangles in this! First, you need to find out what I am saying.

45-45-90 triangle

The bottom triangle has angles measures of 45, 45, and 90 degrees. There is a theorem that states that the two legs are equal, and the hypotenuse is leg×
`√(2)`.

Plugging it in will give you leg lengths of
`4√(2)`.

Plug in that number into the side that connects with our next very special triangle:

30-60-90 triangle

Another theorem states that the hypotenuse is shorter leg times 2, the longer leg is shorter leg times
`√(3)`.

Great! We have the shorter leg. Now we need to find the hypotenuse. Multiply
`4√(2)` by 2, and you get
`8√(2)`. That is x!

The final answer to this problem is: x=
`8√(2)`

Hope this helped a lot!