2012 · Q30
The medians of a triangle ABC intersect at G. Which one of the following is correct?
Elementary MathematicsGeometry
- AFive times the area of triangle AGB is equal to four times the area of triangle ABC
- BFour times the area of triangle AGB is equal to three times the area of triangle ABC
- CThree times the area of triangle AGB is equal to the area of triangle ABC
- DNone of the above
Explanation
The three medians divide the triangle into six equal areas; triangle AGB covers two of them, i.e. one-third of the whole.