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In the diagram below of triangle HIJ, K is
the midpoint of H J and L is the midpoint of
IJ. If KL= -3.2 + 39, and
HI = 6x + 18, what is the measure of HI?

In the diagram below of triangle HIJ K is the midpoint of H J and L is the midpoint of IJ If KL 32 39 and HI 6x 18 what is the measure of HI class=

Respuesta :

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,

[tex]KL = \frac{1}{2}(HI)[/tex]

-3x + 39 = [tex]\frac{1}{2}(6x + 18)[/tex]

-3x + 39 = 3x + 9

6x = 30

x = 5

Therefore, HI =  6x + 18

                      = 6(5) + 18

                      = 30 + 18

                      = 48

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