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How do you determine if the lengths #8, 31.5, 32.5# form a right triangle?

Answer 1

Avery Alexander

#"right triangle"#

#color(blue)"Converse theorem of Pythagoras"#

#"if the "("longest side" )^2" is equal to the sum of the square"# #"of the other 2 sides then it is a right triangle"#

#("longest side")^2=(32.5)^2=1056.25#

#8^2+(31.5)^2=64+992.25=1056.25#

#rArr"the 3 lengths form a right triangle"#

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Answer 2

Julia Adams

To determine if the lengths 8, 31.5, and 32.5 form a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we need to check if 32.5^2 is equal to 8^2 + 31.5^2. If the equation holds true, then the lengths form a right triangle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.