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imc

geometry intermediate

Problem

In the right triangle , we have , , and . Points , , and are located on , , and , respectively, so that , , and . What is the ratio of the area of to that of ?
problem
(A)
(B)
(C)
(D)
(E)
Solution
Let . Because is divided into four triangles, . Because of triangle area, . and , so . , so .
Final answer
E