A triangle has side lengths of 24 in., 32 in., and 40 in. Is the triangle acute, obtuse, or right? A) right. B) obtuse. C) acute

Question

James Fletcher

Mathematics

25 August, 10:40

A triangle has side lengths of 24 in., 32 in., and 40 in. Is the triangle acute, obtuse, or right? A) right. B) obtuse. C) acute

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Answers (2)

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Miranda Norman · Answer 1

24, 32, 40. Divide through by 8

3, 4, 5,

The 3, 4, 5 reminds of the Pythagorean triple, which is a right angled triangle.

So a triangle with sides 24, 32, 40 is a right angled triangle.

Option A.

Tiara · Answer 2

To answer the question above, take note of the relationship between the square of the longest side to that of the sum of the square of the two shorter sides.

a² + b² _ c²

24² + 32² = 1600; 40² = 1600

Since they are equal, the triangle formed is a right triangle.