Question

What is the missing length? help plssss

Answer 1

12

Explanation:

RK = 65- 52= 13

similar triangle (∆RKS and ∆LKM)

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

`x = (60 * 13)/(65)`

`x = 12`

Answer 2

Answer: A. 12

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Work Shown:

LK = 65

LR = 52

RK = LK - LR = 65 - 52 = 13

The triangles are similar, so the corresponding sides form equal ratios

LK corresponds to RK as they are both on the same side

LK/RK is one ratio and it is equal to MK/SK

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LK/RK = MK/SK

65/13 = 60/x

65x = 13*60 ... cross multiply

65x = 780

x = 780/65 ... divide both sides by 65

x = 12

SK = 12