Question

K is the midpoint of JL. JK = 4x and KL= x + 3. Find JK, KL, and JL.

Answer 1

JK = 4

KL = 4

JL = 8

Step-by-step explanation:

Given that K is the midpoint of JL, we have:

See that JK = KL

So,

`4x=x+3`

We then solve for x

Subtract x from both sides

`\begin{gathered} 4x-x=3 \\ \\ 3x=3 \end{gathered}`

Divide both sides by 3

`\begin{gathered} (3x)/(3)=(3)/(3) \\ \\ x=1 \end{gathered}`

Therefore

JK = 4x = 4(1) = 4

KL = x + 3 = 1 + 3 = 4

JL = JK + KL = 4 + 4 = 8