Answer:
[tex] KS = 12 [/tex]
Step-by-step explanation:
Given that ∆KLM ~ ∆RSK, [tex] \frac{KL}{KR} = \frac{KM}{KS} [/tex] (similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?
[tex] \frac{65}{13} = \frac{60}{KS} [/tex]
Cross multiply
[tex] 65*KS = 60*13 [/tex]
[tex] 65*KS = 780 [/tex]
[tex] \frac{65*KS}{65} = \frac{780}{65} [/tex]
[tex] KS = 12 [/tex]
