Can 2 triangles have the same area?

Given sides a and b there will always be two triangles with the same area for each angle θ at the intersection of a and b (except at the maximum area). Another way to see this analytically is to note that the area of the triangle is absin(θ)/2.

Do shapes with the same perimeter always have the same area?

Recognize that shapes with the same areas can have different perimeters and vice versa. Likewise, it is not always true that shapes with the same perimeter have equal area.

What does it mean if two triangles have the same area?

congruent
If two triangles are congruent, then they will have the same area and perimeter.

What is the relation between perimeter of triangle and area of triangle?

The perimeter of a triangle is the sum of the length of its three sides, whether they are equal or not. The area of a triangle is equal to the basis multiplied by the height divided by .

Do all equilateral triangles have the same area and perimeter?

The perimeter of an equilateral triangle is the length of the three sides of the triangle. Since they are all equal in an equilateral triangle, it is easy to find the area of an equilateral triangle by knowing the perimeter.

Can two different shapes have the same area and perimeter?

Yes, as others have demonstrated, you can have different shapes given the same area, perimeter, and number of segments.

Can perimeter and area be the same?

The perimeter will always be even, because the length is multiplied by 2, making it even, and is added to the width which has been multiplied by 2, also making it even. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.

Do 2 congruent triangles have the same perimeter?

If two triangles have same perimeter, then they are congruent.

Are triangles with the same area similar?

Do Similar Triangles Have Equal Areas? Similar triangles will have the ratio of their areas equal to the square of the ratio of their pair of corresponding sides. So, the areas of two triangles cannot be necessarily equal. But note that congruent triangles always have equal areas.

What is the formula of perimeter and area of triangle?

How to Find the Area and Perimeter of a Triangle? The area of a triangle can be calculated with the help of the formula: A = 1/2 (b × h). The perimeter of a triangle can be calculated by adding the lengths of all the three sides of the triangle.

Is there any relation between perimeter and area?

Is there any relationship between area and perimeter? There is no direct relation between area and perimeter. But the both the perimeters depends on dimensions of the shape.

What does the perimeter of an equilateral triangle equal?

3a
Because the sides of the equilateral triangle are equal, the perimeter is equal to 3a.