Math and Arithmetic
Geometry

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

456

###### 2009-01-04 17:05:52

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.

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## Related Questions

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.

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.

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.

A triangle twice as high as a parallelogram with the same base has the same area.

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.

twice the area of the triangle with the same base an height.

Answer: absolutely not! Answer: No. For starters, the area uses units of area (for example, square centimeters), while the perimeter uses units of length (For example, centimeters).

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 minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (&radic;3)/4 &times; side&sup2; &rarr; side = &radic;(4&times;6.5 cm&sup2;/&radic;3) &rarr; perimeter = 3 &times; side = 3 &times; &radic;(4&times;6.5 cm&sup2;/&radic;3) &asymp; 11.62 cm &rarr; The triangle has a perimeter greater than or equal to approx 11.62 cm.

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.

IF triangles 'A' and 'B' are similar (they both have the same angles),then the perimeter of 'B' is 8 times the perimeter of 'A'.If they're not similar, then the ratio of areas doesn't tell you the ratioof perimeters.

Any geometrical figure can have any area. Triangles can be constructed of any desired size, and so can parallelograms.

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.

Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)

A square has the same area and perimeter of 16cm

Begs the question: Same perimeter as what? There are plenty of examples of shapes that given the same perimeter length will have different areas, e.g. pick any two of the following: Circle, Square, Triangle, Rhombus, Pentagon, Hexagon...

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