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Triangle, AC=20, AD=18, CE=24, AE=EB, BD=DC picture below. Find area of triangle.
 2 years ago
 2 years ago
Triangle, AC=20, AD=18, CE=24, AE=EB, BD=DC picture below. Find area of triangle.
 2 years ago
 2 years ago

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radarBest ResponseYou've already chosen the best response.0
Is this a right triangle (<ACB =90 degrees?)
 2 years ago

Tomas.ABest ResponseYou've already chosen the best response.1
i don't know, it may be, just prove it :D
 2 years ago

radarBest ResponseYou've already chosen the best response.0
EC=24 (given) Where does the "8" fit in??
 2 years ago

radarBest ResponseYou've already chosen the best response.0
@Mersj, does the 8 in your drawing apply to EC?
 2 years ago

Tomas.ABest ResponseYou've already chosen the best response.1
i don't know how to explain in english but he's right :D but i don't know where he got 96
 2 years ago

MertsjBest ResponseYou've already chosen the best response.3
A median divides a triangle into 2 triangles of equal area. A second median divides the triangles form by the first median into triangles whose areas are in the ratio 2:1. We can find the area of triangle ACF using Heron's formula. It is 96. So triangle CFD is 48. Together they make triangle ACD which is half the area of the entire triangle. 48+96=144 and 144 times 2 = 288 and that is the area of triangle ABC
 2 years ago

MertsjBest ResponseYou've already chosen the best response.3
Remember the intersection of medians divides the medians into 1/3 2/3 segments
 2 years ago

radarBest ResponseYou've already chosen the best response.0
Very good Mertsj, thanks for the explanation.
 2 years ago

Tomas.ABest ResponseYou've already chosen the best response.1
ok i knew that each median divides by 1:2 but never knew that it also divides area
 2 years ago

MertsjBest ResponseYou've already chosen the best response.3
Yes. And if you drew the third median, you would have 6 triangles of equal area.
 2 years ago
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