Browse · MATH
Printjmc
geometry senior
Problem
In trapezoid the lengths of the bases and are 8 and 17 respectively. The legs of the trapezoid are extended beyond and to meet at point . What is the ratio of the area of triangle to the area of trapezoid ? Express your answer as a common fraction.
Solution
Triangles and are similar, and the ratio of their corresponding sides is . Therefore, we have Since , we have , so Therefore, , so .
Final answer
\frac{64}{225}