Question

What is the missing length.

Answer 1

`KS = 12`

Explanation:

Given that ∆KLM ~ ∆RSK,
`(KL)/(KR) = (KM)/(KS)` (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

`(65)/(13) = (60)/(KS)`

Cross multiply

`65*KS = 60*13`

`65*KS = 780`

`(65*KS)/(65) = (780)/(65)`

`KS = 12`