Question
If G is the centroid of triangle ABC,
Find BE.
- 10
- 11
- 12
- 13
Hint:
The centroid of the triangle separates the median in the ratio of 2: 1.
The correct answer is: 12
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.
>>>Therefore, the length of BE becomes:
BE = 4x+4+3x+1
= 7x+5
= 7(1)+5
BE = 12.
>>Therefore, the length of BE is 12 units.
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
Related Questions to study
If G is the centroid of triangle ABC,
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>>>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.
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