Question

Please help thank you

Answer 1

Question 1:

This is a 45-45-90 right triangle. If the leg length is
`x`, then the hypotenuse length will be
`x √(2)`.

The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
`8 √(2)`. Thus, the last choice is your answer.

Question 2:

This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
`x`.
Then, the longer leg will have a length of
`x √(3)`.
Also, the hypotenuse will have a length of
`2x`

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.

Hope this helps! :)