Answer :
Any right triangle with a base or height that is equal to that of a parallelogram can be the same area. The height or base (opposing to the that matches) of the right triangle simply has to be double that of the parallelogram.(This is because you must multiply the right triangle's sides sum by 1/2)
With the area formula for parallelogram and triangle, if they both have an area of 12 cm²:
parallelogram - b = 3, h = 4
right triangle - b = 6, h = 4
What is the Area of a Parallelogram?
- Area of a parallelogram = base × height
- Area of a triangle = 1/2(base × height)
Assuming a triangle and a parallelogram has the same area, therefore, it would mean that:
Base length of the triangle is twice of that of the parallelogram and their height are equal
Or
Height of the triangle is twice of that of the parallelogram and their base length are equal.
For example, assuming the area of a triangle = area of parallelogram = 12
Height of parallelogram = 3, Height of triangle = 6, both have base length of 4.
Or
Height of parallelogram = 2, Height of triangle = 4, both have base length of 6.
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