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garik1379 [7]
2 years ago
13

Does 25 16 12 make a right triangle​

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
3 0

Answer:

The given lengths do not make a right triangle

Step-by-step explanation:

A right triangle has the sum of the squares of the side lengths equal to the square of the hypotenuse, per the Pythagorean Theorem:

a^2+b^2=c^2\\\\12^2+16^2\stackrel{?}{=}25^2\\\\144+256\stackrel{?}{=}625\\\\400\stackrel{?}{=}625\\\\400\neq625

Since the sum of the squares of the side lengths are not equal to the square of the hypotenuse, then the lengths of the triangle don't make a right triangle.

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