3 years ago

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

Mathematics

1 answer:

FrozenT [24]3 years ago

4 0

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

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