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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i don't know, it may be, just prove it :D

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i don't know how to explain in english but he's right :D but i don't know where he got 96

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.3A 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

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

radar
 4 years ago
Best ResponseYou've already chosen the best response.0Very good Mertsj, thanks for the explanation.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok i knew that each median divides by 1:2 but never knew that it also divides area

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