Question

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 = BA.

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

Now, since BE = x, then BC = .

Answer 1

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 ){`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

Answer: The triangle midsegment theorem says the midsegment of 2 sides of a triangle is parallel to the third side and half as long.

Explanation:

see diagram