Best Answer

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

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

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

The area formula for the parallelogram is related to the area formula for a rectangle because you can make the parallelogram into a rectangle to find the area.

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.

No - a triangle by definition has 3 sides. A parallelogram has 4.

Yes. If you drew them one on top of another, the parallelogram would be a "squashed" one that was not very high when compared to the height of the triangle. But it is eminently possible to have the two figures contain the same area and have the same base.

The opposite sides of a parallelogram are parallel.The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect one other.The area, A, of a parallelogram is A = BH, where B is the base of the parallelogram and H is its height.The area of a parallelogram is twice the area of a triangle created by one of its diagonals.The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.Each diagonal bisects the parallelogram into two congruent triangles.It is possible to create a tessellation of a plane with any parallelogram.The parallelogram is a special case of the trapezoid.The rectangle is a special case of the parallelogram.The rhombus is a special case of the parallelogram.

Related questions

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

Area of a triangle = 0.5*base*perpendicular height Area of a parallelogram = base*perpendicular 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.

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.

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).

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

They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.

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.

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.

They are both convex polygons.

The area formula for the parallelogram is related to the area formula for a rectangle because you can make the parallelogram into a rectangle to find the area.

Because the triangle is three sided and a parallelogram is six sided. Hope I helped. WINNIE THE POOH