¶ 2000 AMC8 Problem 25
Problem:
The area of rectangle is . If point and the midpoints of and are joined to form a triangle, the area of that triangle is
Answer Choices:
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B.
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E.
Solution:
Three right triangles lie outside . Their areas are , and for a total of of the rectangle. The area of is .
Let the rectangle have sides of and so that and . Three right triangles lie outside triangle , and their areas are , , , for a total of . The area of triangle is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions