## Related questions with answers

Question

Use $\triangle G H J$, where D, E, and F are midpoints of the sides.

If HJ=8x-2 and DF=2x+11, what is HJ?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3$\text{\color{#4257b2}The mid-segment of a triangle joins the midpoints of two sides of a triangle such that its length is half the length of the third side of the triangle.}$

Therefore

$\dfrac{HJ}{DF}=2$

$\dfrac{8x-2}{2x+11}=2$

Multiply both sides by $2x+11$

$8x-2=4x+22$

Add 2 on both sides

$8x=4x+24$

Subtract $4x$ from both sides

$4x=24$

Divide both sides by 4

$x=6$

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