Question

Point L is on line segment KM

. Given KM=5x+10,KM=5x+10, LM=4x,LM=4x, and KL=3x,KL=3x, determine the numerical length of KL

Answer 1

KL = 15

Explanation:

Given that,

Point L is on the line segment KM.

We have, KM=5x+10, LM=4x, and KL=3x

ATQ,

KM = KL + LM

Putting all the values, we get :

5x+10=3x+4x

5x+10 = 7x

Taking like terms together

5x-7x=-10

-2x=-10

x=5

Put x = 5 in KL = 3x

KL = 3(5) = 15

So, the value of length KL is 15.