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

The answer is: [A]: "right [triangle]" .
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Step-by-step explanation:
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Given: Side lengths:
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" 24 in., 32 in., and 40 in " ;
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Divide each side length by "8" ;

24 in. / 8 = 3 in. ;

32 in. / 8 = 4 in. ; and

40 in. / 8 = 5 in. .
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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 " .
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