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24 June, 15:02

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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  1. 24 June, 17:28
    0
    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.
  2. 24 June, 18:38
    0
    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.
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