Respuesta :

Answer:

The answer is 10

Step-by-step explanation:

The length BF is equal to 15 for the given triangle ABC.

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

In the given triangle ABC line BF is cutting AC at F, Line CD is cutting AB at D and line AE cutting BC at E. All three lines are meeting at the centroid Q.

The ratio of the line intersecting at centroid Q will be 2:1 which means that the line BF is in the ratio of 2:1.

BQ / QF = 2 / 1

QF  BQ / 2 = 10 / 2 = 5

Now BF is calculated as:-

BF = BQ + QF

BF = 10 + 5

BF =15

Therefore, the length BF is equal to 15 for the given triangle ABC.

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