Using Triangle Similarity Theorems

Question 5 • *CR CCSS Math 2 S2 [M2960OX]

What is the length of BC?

Answer

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.:

triangle midsegment

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

Now, since BE = x, then BC = .:

Triangle Similarity: SSS and SAS

Triangle Similarity: SSS and SAS

Triangle Similarity: SSS and SAS