Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 5,11,13?

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Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 5,11,13?

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Answer 1 · 2017-01-16T18:24:16

No. Those sides do not form a right triangle.

Explanation:

To see if a triangle with sides of given lengths is right, you have to calculate the square of the longest side and check if it equals the sum of squares of 2 other sides:

Here we have:

#L=13^2=169#

#R=5^2+11^2=25+121=146#

Here we have #L!=R#, so the triangle is not right.

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Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 5,11,13?

1 Answer

Explanation:

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