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does 25 16 12 make a right triangle​

Sagot :

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:

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

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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