Question

If AB = 10, BD = 5, and DE= 12, what is the length of BC?

Answer 1

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

Data

• AB = 10

• BD = 5

• DE= 12

• Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24