58.3k views
3 votes
What is the missing length? help plssss

What is the missing length? help plssss-example-1

2 Answers

3 votes

Answer:

12

Explanation:

RK = 65- 52= 13

similar triangle (∆RKS and ∆LKM)


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


x = (60 * 13)/(65)


x = 12

User Shaun Bowe
by
5.1k points
3 votes

Answer: A. 12

========================================

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

----------------

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

User DethSwatch
by
6.0k points