Question

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

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.  

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.