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3 years ago

3)June 2019-In the diagram below of AABC, D is a

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

Answer:

BC = 23.8

Step-by-step explanation:

See the diagram attached.

Given AC ║ DE and BD = 5, DA = 12 and BE = 7.

We have to find BC.

Since, AC ║ DE, so, Δ ABC and Δ DBE are similar.

If two triangles are similar then the ratio of their corresponding sides remains the same.

Hence, $\frac{BD}{BA} = \frac{BE}{BC}$

⇒ $\frac{5}{12 + 5} = \frac{7}{BC}$

⇒ $BC = \frac{7 \times 17}{5} = 23.8$ (Answer)

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