area of parallelogram and triangle


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  • Can a triangle and a parallelogram have the same area?

    A triangle and a parallelogram have the same base and same base and same area.

  • What is the relationship between area of triangle and area of parallelogram?

    Theorem: If a triangle and a parallelogram are on a common base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.

  • The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

The area of a triangle is half the length of its base times its height, while the area of a parallelogram is just the length of its base times its height. Two congruent triangles make up a parallelogram, and a parallelogram can be evenly divided into two congruent triangles.
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