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Can a triangle have the same perimeter and area as a parallelogram?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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What is the perimeter of a triangle that has a area of 6.5 cm?
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 = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.
What shape has the same perimeter but not the same area?
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...
Why do the parallelogram and the rectangle have the same area?
a parallelogram is a tilted rectangle
How do you find the perimeter of of a parallelogram?
If the parallelogram is sideways like the small sides are crooked and the bottom lines are straight then you have to add all the sides to get your answer.Measure any two adjacent sides. Sum them, then multiply by two.It's the sum of the lengths of all sides that form a parallelogram.Perimeter is the distance around an object. If we have a parallelogram with a length 12 and width 5, then 5+5+12+12 which is equal to 34. Same with trapezoid, rectangle, triangle, star, etc.P = 2l + 2w
What is the perimeter of an equilateral triangle with one side 10.5?
An equilateral triangle has all three sides the same length. → perimeter = 3 × 10.5 = 31.5 units.
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.
How is the area of a triangle and parallelogram different?
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.
How is the area of a parallelogram related to the area of a triangle with the same base and 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.
Can a paralleloelgram and a triangle have the same area give examples .?
A triangle twice as high as a parallelogram with the same base has the same area.
What is the relationship between the area of a parallelogram and a triangle when the base and height are the same?
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.
The area of a parallelogram is equal to?
twice the area of the triangle with the same base an height.
How is the area of a parallelogram related to the area formula for the area for a triangle?
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).
Is area of triangle and perimeter of triangle are same?
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).
Can a parallelogram and a triangle which have the same base have the same area?
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.
What is the perimeter of a triangle that has a area of 6.5 cm?
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 = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.
Does parallelogram and a triangle can have the same base and area?
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