Which theorem would show that x = 5 in the diagram?

Question

asked May 24, 2021 148k views

2 Answers

Lasse Espeholt · Answer 1 · 2021-05-29T02:33:15+0000

Answer:

Midsegment theorem for Traoezoids

Step-by-step explanation:

Let's name the trapezoid ABCD such that AB is x, CD is 9 and midpoint line EF is 7, AB||CD, AE=ED and BF=FC.

EF=½(AB+DC)

So 7 = ½(x + 9)

x + 9 = 2 x 7

x + 9 = 14

x = 14 - 9

x = 5