# geometry

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A triangle has side lengths of 14 cm, 48 cm, and 50 cm is it acute, obtuse, or right

• geometry -

Check the value of the longest side squared as compared to the sum of the other legs squared.

If the longest side squared equals the sum of the legs squared, the triangle is a right triangle.

If the longest side squared is less than the sum of the legs squared, the triangle is acute.

If the longest side squared is greater than the sum of the legs squared, the triange is obtuse.

50 ^ 2 = 2500

48 ^ 2 = 2304

14 ^ 2 = 196

48 ^ 2 + 14 ^ 2 = 2304 + 196 = 2500 = 50 ^ 2

That is a right triangle.

• geometry -

obtuse

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