Question

SOMEONE HELP ME PLEASE I NEED AN EXPLANATION A GOOD ONE!!!!

AND ANSWER!!!!

Find the length of MK if JK=36, JL=48, and JN=60.

Answer 1

The length of MK is 9

Step-by-step explanation:

The length of the sides are
`J K=36` ,
`\mathrm{JL}=48` ,
`J N=60`

We need to determine the length of MK

From the figure, we can see that JMN is a triangle and KL is parallel to MN.

Then, by side - splitter theorem, we have,

`(JK)/(KM) =(JL)/(LN)`

where
`J K=36` ,
`\mathrm{JL}=48`

The length of LN can be determined by subtracting JN and JL.

Thus, we have,

`LN=JN-JL`

`LN=60-48=12`

The length of LN is
`LN=12`

Substituting the values
`J K=36` ,
`\mathrm{JL}=48` and
`LN=12` in
`(JK)/(KM) =(JL)/(LN)`, we have,

`(36)/(KM) =(48)/(12)`

Multiplying both sides by 12, we have,

`(36* 12)/(KM) =48`

`(432)/(KM) =48`

`(432)/(48) =KM`

`9=KM`

Thus, the length of MK is 9