Respuesta :

prestonshelton
Hello!

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

[tex] 20^{2} + 24^{2} = 31^{2} [/tex]

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
------------------------------------------------------------------------------------------------------
Question 2

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

[tex]87^{2} +21^{2} =93^{2} [/tex]

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!