Question

I need help with 2 questions please. thank you.

Answer 1

Hello!

Question 1
Use the Pythagorean Theorem to see if the sides are equal


`20^(2) + 24^(2) = 31^(2)`

Square the numbers

400 + 576 = 961

Add

976 = 961

Since the sides are not equal they are not a Pythagorean triple

The answer is no
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Question 2

Put in the values into the Pythagorean Theorem to see what triangle it is


`87^(2) +21^(2) =93^(2)`

Square the numbers

7569 + 441 = 8649

Add

8010 = 8649

Since the it does not for a Pythagorean triple it is not a right triangle

If the two legs added together are bigger than the triangle is acute

If the hypotenuse is a bigger number than the legs then it is obtuse

In this triangle the hypotenuse is bigger so it is an obtuse triangle

The answer is obtuse

Hope this helps!