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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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A. ∠4 is congruent to ∠5; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

D. ∠2 and ∠3; True.

<h3>What are the properties of angles of parallel lines?</h3>
  • On a common plane, two parallel lines do not intersect.
  • As a result, the characteristics of parallel lines with respect to transversals are given below.
  1. Angles that correspond are equal.
  2. Vertical angles are equal to vertically opposite angles.
  3. Interior angles that alternate are equal.
  4. The exterior angles that alternate are equal.

For the give question;

Two line are cut by the transversal.

∠1 =  90.5° and ∠7  =  89.5°

Thus the result for the given statement are-

A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

∠6 = ∠7 =  89.5°.(correct)

D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.

Thus, the result for the given statement are found.

To know more about the parallel lines, here

brainly.com/question/4954460

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