Question

# If G is the centroid of triangle ABC,

Find BG.

- 6
- 7
- 8
- 9

Hint:

### The centroid of the triangle separates the median in the ratio of 2: 1.

## The correct answer is: 8

### The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle. The centroid of the triangle separates the median in the ratio of 2: 1.

>>>Given That:

>>>

>>>BG = 2 GE

>>>(4x+4) = 2(3x+1)

4x + 4 = 6x + 2

2x = 2

x = 1.

>>>The length of BG = 4x+4

BG = 4(1)+4

BG = 8.

>>>>Therefore, the length of BG is 8 units.

BE= 12

### Related Questions to study

### If G is the centroid of triangle ABC,

Find BE.

BG = 4x + 4

BG = 2/3 BE

4x + 4 = 2/3 (7x + 5)

12x + 12 = 14x + 10

2x = 2

x = 1

BE = 7x + 5

= 12

### If G is the centroid of triangle ABC,

Find BE.

BG = 4x + 4

BG = 2/3 BE

4x + 4 = 2/3 (7x + 5)

12x + 12 = 14x + 10

2x = 2

x = 1

BE = 7x + 5

= 12

### If G is the centroid of triangle ABC,

Find CG

>>>CG was given as 5x+1 and CF can be found in terms of x.

>>>There is no scope to find the value of x.

>>>Hence, we have no way to find the value of CG.

### If G is the centroid of triangle ABC,

Find CG

>>>CG was given as 5x+1 and CF can be found in terms of x.

>>>There is no scope to find the value of x.

>>>Hence, we have no way to find the value of CG.

### If G is the centroid of triangle ABC,

Find AG

Centroid divides a median in the ratio 2:1

### If G is the centroid of triangle ABC,

Find AG

Centroid divides a median in the ratio 2:1

### If G is the centroid of triangle ABC,

Find x.

### If G is the centroid of triangle ABC,

Find x.

### In the given figure:

Compare area of ∆ABE, ∆ACE.

### In the given figure:

Compare area of ∆ABE, ∆ACE.

### In the given figure:

Find the area of ∆AEC.

Area = × 12 × 5

= 30

### In the given figure:

Find the area of ∆AEC.

Area = × 12 × 5

= 30

### In the given figure:

Find the area of ∆ABE.

Area of the triangle =

Area = × 12 × 5

Area = 30

### In the given figure:

Find the area of ∆ABE.

Area of the triangle =

Area = × 12 × 5

Area = 30

### In the given figure:

Find h.

### 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

### 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