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Because the triangle is three sided and a parallelogram is six sided.

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Q: How do you know the area of the triangle is equal to half the area of the parallelogram?
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Related questions

How is the area of a triangle related to the area of a parallelogram?

If the heights and bases are the same, then the triangle is half the area of the parallelogram.


How is area of triangle related to parallelogram?

If the heights and bases are the same, then the triangle is half the area of the parallelogram.


Why do you have to divide the area of a triangle and not a parallelogram?

you do it because the triangle is half the size of the parallelogram


Can a triangle have the same perimeter and area as a parallelogram?

I don't know about the relation in the perimeters of a triangle and a parallelogram but if a triangle is on the same base on which the parallelogram is and the triangle is between the same parallel lines of the parallelogram, then the area of the triangle will be half the area of the parallelogram. That is, area of a triangle = 1/2 area of a parallelogram if the triangle is on the same base and between the same parallel lines.


Why is the area of a triangle base times length divided by 2?

Because base times height = the area of a parallelogram and a triangle's area is half that of the parallelogram that the triangle exactly fits into.


E is the midpoint of ab and db is a diagonal of parallelogram abcd what is the ratio of areas of triangle Δabd to parallelogram abcd?

Either diagonal of a parallelogram divides the parallelogram into two triangles of equal areas. Thus area of triangle abd = half that of the parallelogram abcd. The required ratio is 1 / 2.


Why the area of a triangle is half that of a parallelogram?

If you put two of ANY triangle hypotenuse to hypotenuse the shape will have 4 sides (thus a parallelogram or quadrilateral).


Why does a triangle multiplied by one half?

To get the area it half breadth by height. A simplified thought on this is because the formula for the area of a parallelogram is length by width, and a triangle would be half of this


If the area of a parallelogram is 15 cm 2 what is the area of the green triangle?

That would depend on the dimension of the green triage. If the triangle was formed by joining two opposite corners of the parallelogram then it would be half the area of the parallelogram. Area of parallelogram = 15*2 = 30 square cm. 1/2 the area = 15 square cm.


How are the area formulas of triangles and parallelogram alike. How are they different?

They involve only the base and vertical height.The formula for a triangle is half that for the corresponding parallelogram.


Can you explain why the area of a triangle is 1 half base height while the area rectangle or a parallelogram is expressed as base height?

If you draw a diagonal in a rectangle you get two equal triangles, each half the area of the rectangle. Area of rectangle is base x height, so half of that is ½ x base x height. QED


Is every triangle half of a rectangle?

No. Although the area of every triangle is equal to half the area with the same base and height, only right angled triangles are half a rectangle.