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mel-nik [20]
3 years ago
7

What is the value of x?

Mathematics
2 answers:
shtirl [24]3 years ago
6 0
\bold{ANSWER:}
x = 21
\bold{EXPLANATIONS:}

Natasha2012 [34]3 years ago
3 0

Answer:

<u><em>x = 21</em></u>

Step-by-step explanation:

<u><em>We can first notice that </em></u><u><em>this is a right triangle</em></u><u><em>. Meaning that we can </em></u><u><em>apply the pythagorean theorem when finding the missing side.</em></u>

<u><em>Pythagorean Theorem : a^2+b^2=c^2</em></u>

<u><em>But, </em></u><u><em>we already have the hypotenuse</em></u><u><em>, so we have to </em></u><u><em>solve for the side being "b".</em></u><u><em> </em></u><u><em>a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.</em></u>

<u><em>20^2 + b^2 = 29^2</em></u>

<u><em>400 + b^2 = 841</em></u>

<u><em>Subtract 400 from both sides to get b^2 alone</em></u>

<u><em> -400            -400</em></u>

<u><em>b^2 = 441</em></u>

<u><em>Square root of each side to get b by itself</em></u>

<u><em>b = 21</em></u>

<u><em>This means the </em></u><u><em>missing side is 21.</em></u><u><em> Also meaning </em></u><u><em>21 is x.</em></u>

<u><em>x = 21</em></u>

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=====================================================

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