A triangle has side lengths of 8 8 inches, 12 12 inches, and 16 16 inches. Determine whether this is a right triangle and why. CLEAR CHECK No, because 8‾√+12‾‾‾√ 8 + 12 is not equal to 16‾‾‾√ 16 . Yes, because 8‾√+12‾‾‾√ 8 + 12 is equal to 16‾‾‾√ 16 . No, because 82+122 8 2 + 12 2 is not equal to 162 16 2 . Yes, because 82+122 8 2 + 12 2 is equal to 162 16 2 .

It is not a right triangle

Step-by-step explanation:

A triangle has side lengths of 8 inches, 12 inches, and 16 inches.

To determine if it is a Right Triangle, we make use of the Pythagoras Theorem, i.e.

Now the Hypotenuse is always the longest side

The equality above is not true and in fact

Therefore the 3 numbers do not satisfy Pythagoras theorem and cannot be the lengths of a right triangle.

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