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Find the missing side lengths​

Find the missing side lengths​-example-1
User Nifriz
by
8.1k points

2 Answers

2 votes

Answer:

x = 11 * sqrt(3)

y = 11

Explanation:

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

y = 22/2 = 11

x = 11 * sqrt(3)

User JLindsey
by
7.5k points
5 votes

Answer: x = 11√3

y = 11

Explanation:

Let the reference angle be 60

b = y

h = 22

p = x

so

sin60 = p/h


√(3) /2 = x/22

so x =( 22
√(3) )/ 2

so x = 11√3

so


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

User Daedalus
by
8.0k points

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