Mathematics
Grade9
Easy
Question
Given a triangle ABC with ‘G’ as centroid.
Find AB
- 6
- 3
- 9
- 12
Hint:
Median divides the side into two equal parts.
The correct answer is: 12
Centroid:
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.
Given That:
>>>we know CF is the median drawn to the side AB. Then AF must be equal to the FB(AF=AB)
>>>> AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12
>>>Therefore, the length of the side AB is 12 units.
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
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