Question

3)June 2019-In the diagram below of AABC, D is a
point on BA, E is a point on BC, and DE is drawn.
If BD = 5, DA= 12, and BE = 7, what is the length of
BC so that AC || DE?

Answer 1

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)

Answer 2

Answer:

23.8

Step-by-step explanation: