Question

RU and JM are diagonals. Given ST= 6, KL = 10, and RU= 12, find JM

Please answer as soon as possible

Answer 1

Your question is incomplete. The complete question is attached down

Answer:

JM = 20 units

Explanation:

∵ Hexagon RSTUVW is similar to hexagon JKLMNP

∴ The corresponding sides and diagonals have a constant ratio

∴
`(RS)/(JK)=(ST)/(KL)=(TU)/(LM)=(UV)/(MN)=(VW)/(NP)=(RW)/(JP)=(RU)/(JM)`

∵ ST = 6 units

∵ KL = 10

∴
`(ST)/(KL)=(6)/(10)`

- Simplify it by dividing up and down by 2

∴
`(ST)/(KL)=(3)/(5)`

∵
`(ST)/(KL)=(UR)/(JM)`

∵ RU = 12 units

∴
`(3)/(5)=(12)/(JM)`

- By using cross multiplication

∴ JM × 3 = 5 × 12

∴ 3 JM = 60

- Divide both sides by 3

∴ JM = 20 units