How would I use the Pythagorean Theorem to determine if a triangle with sides measuring the following is a right triangle: #8, 5, 9#?

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How would I use the Pythagorean Theorem to determine if a triangle with sides measuring the following is a right triangle: #8, 5, 9#?

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Answer 1 · 2015-11-18T11:17:41

The way to check if the triangle is right is to check if #9^2=8^2+5^2#

Explanation:

According to Pythagorean Theorem A triangle is right-angled if and only if #c^2=a^2+b^2#, so to check if a triangle is right-angled you have to check if the square of the longest side is equal to sum of squares of 2 other sides.

So we check if:

#9^2=5^2+8^2#

#L=81#

#R=25+64=91#

#L!=R#

Since #L!=R# we can say that this triangle is not right-angled.

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How would I use the Pythagorean Theorem to determine if a triangle with sides measuring the following is a right triangle: #8, 5, 9#?

1 Answer

Explanation:

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