Area of Triangles

Area of Triangles: Level 1 Challenges


The rectangle in the diagram has an area equal to 640 cm2\text{cm}^2.

Points B and F are midpoints of sides AC and AE, respectively.

What is the area of triangle BDF in cm2?\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?

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

The diagram above shows a triangle, it is known that ADEFADEF is a parallelogram, XX is a point on line ABAB, YY is a point on line ACAC. If the area of XEF\triangle XEF is 1, then the area of DEY\triangle DEY is...

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

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