Using Triangle Similarity Theorems

Question 112559 • SSHS Geometry Sem 1 IMA 301

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 = .:

Using Triangle Similarity Theorems

Using Triangle Similarity Theorems

Using Triangle Similarity Theorems