Question

Triangle A C B is cut by line segment E D. Line segment E D goes from side B C to side A C. The length of B A is 4 x minus 6 and the length of E D is x + 2. The length of B E is x. Sides B E and E C are congruent. Sides A D and D C are congruent. We can apply the triangle midsegment theorem: ED = One-halfBA. Evaluate the equation for x. What is the length of BC? a 5 b 6 c 10 d 2.5

Answer 1

Answer: D., triangle midsegment, 5 & 10.

Step-by-step explanation: Trust Me! I got it correct on Edge. Hope this helps! :)

What is the length of BC? From the markings on the diagram, we can tell E is the midpoint of BC and ✔ D is the midpoint of AC

We can apply the ✔ triangle midsegment theorem: ED = 1/2 of BA.

Substituting in the expressions for the lengths and solving for x, we get x = ✔ 5.

Now, since BE = x, then BC = ✔ 10.

Answer 2

the answers are

D

Triangle midsegment

5

10

Explanation: