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 $x \sqrt{2}$.

The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get $8 \sqrt{2}$. 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 $x \sqrt{3}$.
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! :)