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Mariulka [41]
2 years ago
7

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

Mathematics
1 answer:
statuscvo [17]2 years ago
8 0
The answer is:  [A]:  "right [triangle]" .
________________________________________________
Explanation:
________________________________________________
Given:  Side lengths:
________________________________________________
  " <span>24 in., 32 in., and 40 in " ;  
________________________________________________
Divide each side length by "8" ; 
</span><span>
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:  3</span>² + 4² = 5² ;

→  9 + 16 = 25 ; 

according to the Pythagorean theorem:  " a² + b² = c² " .
_________________________________________________
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The measure of angle P is five less than four times the measure of angle Q. Of angle P and angle Q are supplementary angles, fin
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Answer:

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Step-by-step explanation:

Given:

∠P and ∠Q are supplementary angles.

The measure of angle P is five less than four times the measure of angle Q.

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The measure of angle P can be given as:

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Substituting equation A into B.

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