EF is a median of trapezoid ABCD. If the length of EF is 14x, and the length of CD is 20x, what is the length of AB in terms of x?
Added by Kristen J.
Step 1
Recall that a median of a trapezoid is a line segment that connects the midpoints of the non-parallel sides. In this case, EF connects the midpoints of AB and CD. Show more…
Show all steps
Your feedback will help us improve your experience
Angela Miyamoto and 59 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
ABCD is a trapezoid with median EF. 11. If DC = 2x + 10, AB = 3x + 20, and EF = 4x, what is EF? a. 37 b. 40 c. 15 d. 14 12. If EF = 4x + 10, AB = 10(x - 2), DC = 3x, what is DC? a. 37 b. 40 c. 15 d. 14
Jeremiah M.
In the diagram below, EF is the median of trapezoid ABCD. If AB = 5x - 9, DC = x + 3, and EF = 2x + 2, what is the value of x?
Maujee L.
2. ABCD is a trapezoid with median EF. If DC = x + 5, EF = 2x + 1 and AB = 4x - 10, find EF. Solutions: Step 1. Write the formula. EF = 1/2(AB + DC) Step 2. Substitute the values of EF, AB and DC into the formula. Solve for x. 2x + 1 = 1/2(4x - 10 + x + 5) 2x + 1 = 1/2(5x - 5) 2(2x + 1) = 5x - 5 4x + 2 = 5x - 5 4x - 5x = -5 - 2 -x = -7 x = 7 Step 3. Substitute 7 for x. Solve for EF EF = 2x + 1 = 2(7) + 1
Kathleen C.
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD