Question 1:
Use the Pythagorean theorem.
If
, then the angle is acute.
If
, then the angle is right.
If
, then the angle is obtuse.
Thus, the angle is acute.
Question 2:
Take the square root of the area to get the side length.
That's the side length. Since we have a 45-45-90 right triangle if we divide the square across its diagonal, we just multiply the side length by the square root of 2 in order to get the diagonal length.
Your answer is 20 m. Hope this helps! :)
Use the Pythagorean theorem.
If
If
If
Thus, the angle is acute.
Question 2:
Take the square root of the area to get the side length.
That's the side length. Since we have a 45-45-90 right triangle if we divide the square across its diagonal, we just multiply the side length by the square root of 2 in order to get the diagonal length.
Your answer is 20 m. Hope this helps! :)