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What is the length of BC?

From the markings on the diagram, we can tell E is the midpoint of BC and

is the midpoint of AC

We can apply the

theorem: ED = One-halfBA.

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

.

Now, since BE = x, then BC =
.

Respuesta :

akposevictor

Using the triangle midsegment theorem, x = 5; BC = 10 units.

What is the Triangle Midsegment Theorem?

According to the triangle midsegment theorem, ED = 1/2(BA).

Given the following:

ED = x + 2

BA = 4x - 6

x + 2 = 1/2(4x - 6)

2(x + 2) = 4x - 6

2x + 4 = 4x - 6

2x - 4x = -4 - 6

-2x = -10

x = 5

BC = 2(BE)

BC = 2(x)

BC = 2(5)

BC = 10 units

Learn more about the triangle midsegment theorem on:

https://brainly.com/question/12234706

#SPJ1

Ver imagen akposevictor
Cherrypoptartmuch

Answer:

D

Triangle Midsegment

5

10

Step-by-step explanation:

E2020 Geometry B!!:3

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