Question

Find the unknown side lengths

Answer 1

JK = 3
`√(3)`

LK = 6
`√(3)`

Explanation:

the ratio of sides in a 30-60-90° triangle, respectively, is 1 :
`√(3)` : 2

we can use the 9 in a proportion to find other sides:

9/JK =
`√(3)`/ 1

cross-multiply:

JK
`√(3)` = 9

JK = 9/
`√(3)` which is the same as 3
`√(3)` if you rationalize the denominator

9/LK =
`√(3)`/2

cross-multiply:

LK
`√(3)` = 18

LK = 18/
`√(3)` which is equal to 6
`√(3)` if you rationalize the denominator