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Geometry

# Area of Triangles: Level 1 Challenges

The rectangle in the diagram above has an area equal to 640 $$\text{cm}^2$$. Points B and F are midpoints of sides AC and AE, respectively. What is the area of triangle BDF in $$\text{cm}^2$$?

In a large equilateral triangle, we draw the incircle. We then draw a smaller equilateral triangle in the incircle.

What is the ratio of the area of the smaller equilateral triangle to that of the larger equilateral triangle?

A triangle has sides 15, 41, and 52. What is its area?

$$\triangle ABC$$ is a right triangle and line segment $$AD$$ is an altitude.
If $$AB = 10$$ and $$BD = 8$$, then what is the area of $$\triangle ABC$$?

The diagram above shows a triangle, it is known that $$ADEF$$ is a parallelogram, $$X$$ is a point on line $$AB$$, $$Y$$ is a point on line $$AC$$. If the area of $$\triangle XEF$$ is 1, then the area of $$\triangle DEY$$ is...

This is one part of 1+1 is not = to 3.

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