Question

in the Diiagraph below of the triangle HIJ, K is the midpoint of HJ and L is the midpoint of IJ. If KJ=-25+7x and HI=8x-14, what is the measurement of HI?

Answer 1

HI = 34

Explanation:

KL is a mid segment of the triangle and is half the length of HI , that is HI is twice KL , so

HI = 2 × KL

8x - 14 = 2(- 25 + 7x)

8x - 14 = - 50 + 14x ( subtract 14x from both sides )

- 6x - 14 = - 50 ( add 14 to both sides )

- 6x = - 36 ( divide both sides by - 6 )

x = 6

Then

HI = 8x - 14 = 8(6) - 14 = 48 - 14 = 34