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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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