Question

Please tell me the answer by solving it​

Answer 1

Answer:

According to Geometry, a centroid divides a median in the ratio of 2 : 1.

Now, consider the median BE passing through G (centroid). Based on the geometrical interpretation we can say that,

• The ratio of BG with respect to GE is 2 : 1

According to the question, the length of BG is 10 cm. Therefore the length of GE can be calculated as:

$\implies \dfrac{BG}{GE} = \dfrac{2}{1}\\\\\\\implies \dfrac{10}{GE} = \dfrac{2}{1}\\\\\implies 2 \times GE = 10\\\\\implies \boxed{ \bf{GE = 5\:\:cm}}$

Hence the measure of GE is 5 cm.

Answer 2

Answer:

REQUIRED ANSWER:

First,

According to Geometry,

A centroid divides a median in the ratio 2:1

Now, based on geometrical interpretation ,

According to the ratio

• The ratio of BG with GE is 2:1.

The length of BG = 10cm.

GE = ?

Therefore, the length of GE can be calculated :

$\tt{ \mapsto \: \frac{10}{GE } = \frac{2}{1} }$

$\tt{ \mapsto \: 2 \times GE = 10}$

$\tt{ \mapsto \: GE = \frac{10}{2} }$

$\tt{ \boxed{ \sf \pink{ \mapsto \: GE = 5}}}$

Hence, the GE = 5cm.