Question

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

Answer 1

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

Answer 2

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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