Find JL if JK=17-x, KL=2x-7, and K is the midpoint of JL
is this a triangle?
is this a right triangle?
need more specific info to solve
To find the length of JL, we need to use the fact that K is the midpoint of JL. This means that the distance from J to K is the same as the distance from K to L.
Given that JK = 17 - x and KL = 2x - 7, we can set up an equation:
JK = KL
Substituting the given values, we have:
17 - x = 2x - 7
To solve for x, let's start by simplifying the equation:
17 + 7 = 2x + x
24 = 3x
Dividing both sides of the equation by 3, we get:
8 = x
Now that we have the value of x, we can substitute it back into one of the given expressions to find the length of JL.
Using JK = 17 - x, we have:
JK = 17 - 8
JK = 9
Since K is the midpoint of JL, KL is also equal to 9. Therefore, JL, which is the sum of JK and KL, is:
JL = JK + KL
JL = 9 + 9
JL = 18
So, the length of JL is 18 units.