A triangle has side lengths of 10 in, 16 in and 18 in. classify it as acute, obtuse, or right

Question

Mathematics

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31 August, 12:39

A triangle has side lengths of 10 in, 16 in and 18 in. classify it as acute, obtuse, or right

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Answers (1)

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Naima Briggs · Answer 1

Answer: Acute

Step-by-step explanation:

18² ___ 10² + 16²

324 ___ 100 + 256

324 ___ 356

324 < 356

Since the hypotenuse squared is less than the sum of the side lengths squared, the triangle is acute.

NOTE: a greater than symbol would have resulted in an obtuse triangle and an equal sign would have resulted in a right triangle.