Math, asked by ilham, 1 year ago

In a triangle ABC the medians AD, BE, CF intersect at G. If BG=8cm, find BE

Answers

Answered by manvendra3
6
we know that the medians of triangle inntersect in ratio 2:1
A.T.Q
BG:BE= 2:1
then,BE=4cm
Answered by erinna
9

The measure of BE is 12 cm.

Step-by-step explanation:

It is given that In a triangle ABC the medians AD, BE, CF intersect at G and BG=8cm.

We know that intersection of median in a triangle is known as centroid. Centroid divides each median in 2:1.

BE is a median and G is centroid, it means BG:GE=2:1.

\dfrac{BG}{GE}=\dfrac{2}{1}

\dfrac{8}{GE}=\dfrac{2}{1}

On cross multiplication we get

8=2GE

Divide both sides by 2.

4=GE

The measure of BE is

BE=BG+GE          (Segment addtion property)

BE=8+4=12

Therefore, the measure of BE is 12 cm.

#Learn more

In tringle abc the median ad be and cf intersect at g. If be =7.8cm find bg.

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