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larisa [96]
3 years ago
7

4. Find the value of x in the right triangle below. 60°

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

  12

Step-by-step explanation:

It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...

  1 : √3 : 2

Then the sides marked will have the ratio ...

  6 : x = 1 : 2 = 6 : 12

  x = 12

_____

You can also get there using trigonometry.

  cos(60°) = 6/x

  x = 60/cos(60° = 60/0.5

  x = 12

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So the answer is
(<span>x^2 plus or minus 6)(x^2 plus or minus 6)
an easy way to do this is to only look at plus or minus 6
x^4 <u><em>- 12</em></u>x^2 + <u><em>36   (-12 and 36)
</em></u><em />

<u><em /></u>6 x 6 = 36
<em />6 + 6 </span>≠ -12              (x^2 + 6)(x^2 + 6) is incorrect        
<span><u><em>
</em></u><em><u /></em><u />
6 x -6 </span>≠ 36
<span><em />6 + -6 </span>≠ -12             (x^2 - 6)(x^2 + 6) is incorrect
<span><em /><em>
</em><em />-6 x -6 = 36
<em />-6 + -6 = -12         </span><span>(x^2 - 6)(x^2 - 6) is correct
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the answer is (1)

</em></u>
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3 years ago
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