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# What is the relationship between the area of a parallelogram and a triangle when the base and height are the same?

678 ###### 2009-02-10 03:16:48

The area of a parallelogram is base x height and the area of a triangle is 1/2 x base x height. So the area of a parallelogram will always be 2 times bigger than a triangle with the same base and height.

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## Related Questions Parallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*Height The relationship between the area of a triangle and a rectangle is a Triangle is base times height divided by 2. Area of a rectangle is length times height. The parallelogram has twice the area of the triangle if their bases are the same and their heights are the same. Area triangle = 1/2 base x height. Area parallelogram = base x height. Area circle: &pi; &times; radius&sup2; Area triangle: &frac12; &times; base &times; height Area Parallelogram: base &times; height Area: Rectangle: length &times; width In a triangle, the base is any side between two vertices and the height is the perpendicular distance from this side to the third vertex. In a parallelogram the base is any side. The height is the perpendicular distance between this side and the side parallel to it. Area of a triangle = 0.5*base*perpendicular height Area of a parallelogram = base*perpendicular height The side of a triangle or parallelogram used to help find area is called the base. Area is base times height in a parallelogram. In a triangle, it is 1/2 times base times height. area of a parallelogram=base*height(base multiplied by height).here "height" denotes the perpendicular distance between those two parallel sides one of which is taken as the base. It is base x height for the parallelogram. That is twice the area of a triangle which is: 1/2 base x height. (Base and height being the same for both cases). The height is a perpendicular angle from the base. The sides of the parallelogram are slanted tho and this will vary for every parallelogram. To find the height you typically make a triangle with one of the slanted sides. twice the area of the triangle with the same base an height. There is no relationship. Knowing the length of one of them doesn't tell you the length of the other one. It depends on the triangle. There is no description of this relationship that fits all triangles. 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. Do you know the formula for the area of a triangle ? Pick a base-length and a height for your triangle so that 1/2 (base x height) = 20. Do you know the formula for the area of a parallelogram ? Pick a base-length and a height for your parallelogram so that (base x height) = 20. We're having a problem understanding your difficulty. Of course, if you don't know the formulas for area . . . B= Base H= Height x= Multiply /= Divide For a parallelogram you would do: Area= bh x 2 So the base X height, then x 2 For a triangle: Area= bh/ 2 So the base x height then / 2 ... and the shape is? A triangle? A parallelogram? It depends on the shape. A triangle and a parallelogram with these dimensions will have different areas.   There is no relationship between the base and the height: the two are entirely independent. So knowing one does not help determine the other. The area of a rectangle is Base x Height and its the same thing as a parallelogram but the area of a triangle is Base x Height divided by 2 So unless its a parallelogram you just X all the sides. What kind of question is this? For a triangle, multiply the length of one side by two. For a parallelogram, divide by the width.  The formulae are quite similar; you multiply base x height, where the height is perpendicular to the base. In the case of a trapezium, you need to calculate the average of the two bases first. 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

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