Question

In the diagram below of triangle HIJ, K is

Answer 1

Answer:

HI = 48 units

Step-by-step explanation:

By midpoint theorem,

"Line segment joining midpoints of two sides of a triangle measures the half of the third side of a triangle."

Since, KL is the segment joining midpoints of JH and JI,

$KL = \frac{1}{2}(HI)$

-3x + 39 = $\frac{1}{2}(6x + 18)$

-3x + 39 = 3x + 9

6x = 30

x = 5

Therefore, HI =  6x + 18

                      = 6(5) + 18

                      = 30 + 18

                      = 48