Fresh features from the #1 AI-enhanced learning platform.Try it free
Fresh features from the #1 AI-enhanced learning platformCrush your year with the magic of personalized studying.Try it free
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

Verified
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 $2x+11$

$8x-2=4x+22$

$8x=4x+24$

Subtract $4x$ from both sides

$4x=24$

Divide both sides by 4

$x=6$

## Recommended textbook solutions

#### Geometry

1st EditionISBN: 9780076639298Carter, Cuevas, Cummins, Day, Malloy
4,577 solutions

#### enVision Geometry

1st EditionISBN: 9780328931583 (3 more)Al Cuoco
2,702 solutions

#### McDougal Littell Geometry Practice Workbook

1st EditionISBN: 9780618736959Boswell, Larson, Stiff, Timothy D. Kanold
1,936 solutions

#### Big Ideas Math Geometry: A Common Core Curriculum

1st EditionISBN: 9781608408399 (1 more)Boswell, Larson
4,072 solutions