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# How do you know the area of the triangle is equal to half the area of the parallelogram?

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###### 2012-01-30 07:23:40

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

Hope I helped.

Winnie the pooh

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## Related Questions

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

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

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

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.

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.

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

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

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.

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

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.

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 &frac12; x base x height. QED

Yes, certainly. The trapezoid area is one half sum of bases times height and the parallelogram area is base times height If the base of the parallelogram is equal to 1/2 the sum of he trapezoid bases, they have the same area

Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.

The area of a triangle is given by the formula (1/2 a h), where a is the length of the base of the triangle, and h is the height of the triangle.Referring to the length of the base as two half metres is slightly overly confusing however. 2 x 0.5 is equal to 1 metre, therefore, a triangle base equal to two half-metres is one metre long.Assuming this is the case, the height of the triangle would be equal to 8 metres - since 0.5 x 8 is equal to 4, the length of half the base being equal to 0.5 metres, or half a metre.

the area of a triangle is half of the base times the height the area of a triangle is half of the base times the height

you split your shape in half, (The rectangle and the triangle), by putting a line through it and then calculate the area of the rectangle and then calculate the area of the triangle, half the area of the triangle then add the area of the triangle and the rectangle together!Then you should have your answer!

Depending upon exactly where the cut is made (and the shape/type of the original trapezoid), a trapezoid cut into two pieces [of equal area] can result in: 1: two trapezoids 2: a trapezoid and a parallelogram 3: a trapezoid and a [general] quadrilateral 4: a parallelogram and a triangle 5: two triangles.

A triangle with base 10cm and height 7 cm will have half the area of a parallelogram with the same dimensions. Since you have not disclosed the shape, it is not possible to answer the question.

Easiest wayDraw a three inch by three inch square. add lines at one inch marks to form a small grid. draw line diagonally across to form two triangles. count the number of squares in one triangle (remember the squares with the diagonal line are only half a square)Did you get 4 1/2?A X B divided by two 3 X 3= 9 / 2 = 4.5To arrive to the forumla for area of triangle, lets look at the area of square and rectanlge first: Area of square: side x side Area of rectangle: length x width Notice that the formulas for area of square and rectangle is very similar. The squre is a special case only, so there is not much difference. Let's take the special case first- area of square: Area= side x side If I want to find the area of a triangle from this square, you have to divide the square in half diagonally. This means: (side x side)/2 = area of triangle Let's take a look at retangle now: Area of rectangle: length x width Similarly like the square, you divide the rectangle diagonally by half. This means: (length x width)/2 Conclusion: Thus, area of triangle= (base x height)/2 The base can be considered as one of the sides of the rectangle/square, and the height can be considered as the other side of the rectangle/square. THE FORMULA OF TRIANGLE COMES FROM HALF THE AREA OF RECTANGLE/SQUARE! Visit quickanswerz.com for more math help and tutoring!Area is measured in square units. If we are given a region we divide the region into unit squares.Then we count the number squares, which is the area of the region.Consider a rectangle of length 10 units and width 5 units.The area of the rectangle is 50 square units.It is because we can divide the rectangle into 10 equal parts along the length.Similarly, we can divide the rectangle into 5 equal parts along the width. Now we have divided the entire rectangle into unit squares.If we count the number of squares we get 50 unit squares.We get this by multiplying the length and the width. Area = Length*Width square units.This is the same for a parallelogram too.Area of a parallelogram is base * height square unitsThis is how the concept of area has come.We can find the area of the triangle also.A rectangle or a parallelogram can be divided into two equal triangles by a diagonal.Half of the area of the rectangle(or parallelogram) gives the area of the triangle.In fact, we can extend any triangle into an parallelogram.So, we get the formula, area of a triangle = (base* height)/2 square units.Source: www.icoachmath.com

this is an area of a triangle. since the area of a triangle is equal to base times height times one half.21 times 9 is 189189 over 2 is 94.5 is your answer

The area of qa triangle is always half of the area of a rectangle with the same dimensions

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