Atriangle has side lengths of 24 in., 32 in., and 40 in. is the triangle acute, obtuse, or right? a) right. b) obtuse. c) acute

The answer is:  [A]:  "right [triangle]" .

Explanation:

Given:  Side lengths:

  " 24 in., 32 in., and 40 in " ;  

Divide each side length by "8" ; 

24 in. / 8 = 3 in. ; 

32 in. / 8 = 4 in. ;  and
 
40 in. / 8 = 5 in. . 

3 in . , 4, in,  5 in. ;  is a "right triangle" ; 

since:  3² + 4² = 5² ;

→  9 + 16 = 25 ; 

according to the Pythagorean theorem:  " a² + b² = c² " .