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2 years ago

Please answer this question

Mathematics

1 answer:

Alexeev081 [22]2 years ago

6 0

The answer is c. your welcome

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LuckyWell [14K]

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Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras' theorem to find that side

where c = x because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c = $\sqrt{a^{2} + b^{2} }$

sooo plug in a = 14 and b = 10

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c = $\sqrt{196+100}$

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c= 17.20465..... ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

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the side with 14 then has an angle of 35.5376°

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