Question 1:
This is a 45-45-90 right triangle. If the leg length is [tex]x[/tex], then the hypotenuse length will be [tex]x \sqrt{2} [/tex].
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get [tex]8 \sqrt{2} [/tex]. 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 [tex]x[/tex].
Then, the longer leg will have a length of [tex]x \sqrt{3} [/tex].
Also, the hypotenuse will have a length of [tex]2x[/tex]
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
