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MAVERICK [17]
3 years ago
8

WILL GIVE BRAINLIEST!!!!!!!!!!!!! Which of the following shows the length of the third side, in inches, of the triangle below?

Mathematics
2 answers:
AfilCa [17]3 years ago
7 0
Use Pythagorean theorem.

A= \sqrt{C^{2}- B^{2}}


A= \sqrt{74^{2}- 24^{2}}

A= \sqrt{5476 -576}

A= \sqrt{4900}

A= 70



Therefore the 3rd side is 70 inches.
Dmitriy789 [7]3 years ago
4 0
<span>By the Pythagorean theorem:

</span>third \  side = \sqrt{74^2-24^2} =  \sqrt{5476-576}= \sqrt{4900}=70 \ in<span>
</span>
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The <em><u>correct answers</u></em> are:

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Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.  We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.


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