In the given figure:

Find the area of ∆AEC.

Area of the triangle = $1 half cross times b a s e cross times h e i g h t$
Area = $1 half$ × 12 × 5
Area = 30

In the given figure:

Find h.

Given vertices of a triangle are A (1, 1) B (11, 8) C (13, 6).Find the midpoints of BC, CA

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

The centroid and orthocenter, both are the same in an equilateral triangle for special segments

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

The centroid and orthocenter, both are the same in an equilateral triangle for special segments

Given ΔABC is an isosceles triangle.

∆ABD $≅$
$display style approximately equal to space$

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.