Tell if the measures 10, 12, and 16 can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or right.

Question

Mathematics

Joaquin Oconnell

18 July, 08:20

Tell if the measures 10, 12, and 16 can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or right.

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Answers (1)

Know the Answer?

Hillary Durham · Answer 1

Yes, acute

Step-by-step explanation:

Because 10 and 12 add up to more than 16, it is possible to construct an acute triangle with these side lengths. Since 10^2 + 12^2 ≠ 16^2, we know that any triangle so constructed will not be a right triangle.