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photoshop1234 [79]
3 years ago
14

Find the missing side lengths​

Mathematics
2 answers:
8090 [49]3 years ago
5 0

Answer:

x = 11 * sqrt(3)

y = 11

Step-by-step explanation:

Use the ratio of the lengths of the sides of a 30-60-90 triangle.

y = 22/2 = 11

x = 11 * sqrt(3)

diamong [38]3 years ago
3 0

Answer: x = 11√3

y = 11

Step-by-step explanation:

Let the reference angle be 60

b = y

h = 22

p = x

so

sin60 = p/h

\sqrt{3} /2 = x/22

so x =( 22\sqrt{3} )/ 2

so x = 11√3

so

h^2 = p^2 + b^2\\22^2 = (11\sqrt{3)}^2 + b^2\\or, 484 = 363 + b^2\\or, 484-363 = b^2\\or, 121 = b^2\\or, \sqrt{121} = b\\so b = 11

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