Question

What is the missing length.

Answer 1

Answer:

$KS = 12$

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, $\frac{KL}{KR} = \frac{KM}{KS}$ (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

$\frac{65}{13} = \frac{60}{KS}$

Cross multiply

$65*KS = 60*13$

$65*KS = 780$

$\frac{65*KS}{65} = \frac{780}{65}$

$KS = 12$