Question

L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please type the answer step by step.

Answer 1

Explanation:

L is the midpoint of KM. So, length of KL = length of LM

KL = LM = 14x

KL + LM = KM

14x + 14x = 26x + 14 {add the like terms}

28x = 26x + 14 {subtract 26x form both sides}

28x - 26x = 14

2x = 14 {divide both side by 2}

2x/2 = 14/2

x = 7

KL = 14x = 14*7

KL = 98