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A triangle has sides with lengths of 60 feet, 63 feet, and 87 feet. Is it a right triangle?

User Blackator
by
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2 Answers

10 votes
Yes, hope this helps.
User Johannes Overmann
by
5.4k points
8 votes

Answer:

Yes

Explanation:

We can use the Pythagorean Theorem to check if this triangle is a right triangle:


a^2+b^2=c^2

Note that
a and
b are the legs of the triangle and
c is the hypotenuse:

Substitute the lengths of the sides into the equation:


60^2+63^2=87^2


3600+3969=7569\\7569=7569

Therefore this triangle is a right triangle.

User Jesus Oliva
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5.6k points