Question

Find the missing side lengths​

Answer 1

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)

Answer 2

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`