In the accompanying diagram, the area of square $$\(A B C D\)$$ is $$\(600, E\)$$ is the midpoint of $$\(A B\)$$ , $$\(C E G H\)$$ is a square, and points $$\(A, F, D\)$$, and $$\(H\)$$ are collinear. What is the area of $$\(\triangle D G H\)$$ , shown shaded?

Mathematics
Competition
Math League
Exam No:2024 First Round Grades 10-12 Year:2024 Question No:17

Answer:

75

Knowledge points:

G10-12 - Geometry - Advanced Coordinate Geo & Vectors

Solution:

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