The centroid and orthocenter of an equilateral triangle for special segments are ____

In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG

Given a triangle ABC with ‘G’ as centroid.
Find BF

AF = BF
AF = 6
BF = 6

Given a triangle ABC with ‘G’ as centroid.
Find BF

AF = BF
AF = 6
BF = 6

Given a triangle ABC with ‘G’ as centroid.
Find BE.

Given a triangle ABC with ‘G’ as centroid.
Find AB

Follow the below steps to find the length of AB:

AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12

Given a triangle ABC with ‘G’ as centroid.
Find AB

Follow the below steps to find the length of AB:

AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12

Given a triangle ABC with ‘G’ as centroid.
Find GE.

$table attributes columnspacing 1em end attributes row cell B G equals 4 end cell row cell B G equals 2 over 3 B E end cell row cell B E equals 3 over 2 space cross times space 4 end cell row cell B E equals 6 end cell row cell G E equals B E space minus space B G end cell row cell equals 6 space minus space 4 end cell row cell equals space 2 end cell end table$

Given a triangle ABC with ‘G’ as centroid.
Find GE.

In the ∆QPR, what is the point of concurrency of medians?

Centroid divides a median in the ratio 2:1

In the ∆QPR, what is the point of concurrency of medians?

Centroid divides a median in the ratio 2:1

Choose an option that relates to AD, in the given figure.

From the given figure:

Find the length of the sides of the triangle.

We can find the triangle side lengths by using the Pythagorean theorem.
Side length = $equals square root of 12 squared plus 5 squared end root$
$table attributes columnspacing 1em end attributes row cell equals square root of 144 plus 25 end root end cell row cell equals square root of 169 end cell row cell equals 13 end cell end table$
13, 13 and base =10

From the given figure:

Find the length of the sides of the triangle.

Find the value of x.