2006 UNCO Math Contest II Problems/Problem 5
Revision as of 16:07, 18 December 2018 by Hashtagmath (talk | contribs) (Added solution to the problem)
Problem
In the figure is parallel to
and also
is parallel to
. The area of the larger triangle
is
.
The area of the trapezoid
is
. Determine the area of triangle
.
Solution
Since we know is equal to the short side of both triangles and that
is equal to the long sides of the hypotenuse of the triangle. Thus we know that if we make a line
(as seen below), all four triangles in
are congruent.
Then, since we know the sum of all four triangles is , we can solve the easy division problem
and see that the area of
See Also
2006 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |