A triangle has side lengths 10, 16, and 11. Is the triangle acute obtuse or right? Explain

Question

Mathematics

Amanda Best

24 January, 08:04

A triangle has side lengths 10, 16, and 11. Is the triangle acute obtuse or right? Explain

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Answers (2)

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Harper Dalton · Answer 1

Obtuse because the numbers arent right to e right

Denzel Graham · Answer 2

If the triangle is "right," then 10^2 + 11^2 = 16^2. Check this out. Does 100+121 = 256? No. This triangle is not "right."

10, 11 and 16 are quite close to one another, so there is no chance of having a longer side that is much greater than either of the other two sides. This indicates an "acute" triangle.

Think: if the side lengths were 10, 11 and 21, then you'd not have a triangle, but would have a straight line. As soon as the larger side passes 21 you'd have an "obtuse" angle.