The diagram shows two overlapping triangles: Triangle ABC with interior angles 60°, 30°, and 90°, and Triangle DEF, which is a right-angled isosceles triangle. What is the ratio of the area of Triangle ABC to Triangle DEF?
A. 1:1 B. 1:√2 C. 1:√3 D. 1:2 E. 1:3
D
By comparing angles and using properties of similar triangles, the area ratio is 1:2.
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This course encompasses a range of Geometry topics such as coordinate and spatial geometry, introductory trigonometry, angles, parallel lines, congruent and similar triangles, polygons, circles, the Pythagorean Theorem, and more. Emphasis will be placed on reinforcing Algebra skills and enhancing critical thinking through problem-solving in both mathematical and real-world contexts.
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