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Q: Is it true that when equilateral triangles have equal perimeters they must also have equal areas?
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Related questions

Are triangles equilateral?

Some triangles are equilateral, but not all of them. There are three types of triangles. Triangles which have three equal sides and three equal angles are called equilateral triangles. Isosceles triangles have two equal sides and two equal angles. Scalene triangles have no equal sides and no equal angles.


What are the properties of isosceles triangles?

All isosceles triangles: - Have angles that add up to 180 degrees - Have two equal sides. The unequal side is called the base. - Have equal base angles. - Have areas and perimeters that can be found using the formulas Area=1/2 X (base X height) and Perimeter=side+side+side An equilateral triangle with a right angle is called a right isosceles triangle. Also, all equilateral triangles are isoceles triangles, but not all isosceles triangles are right triangles.


Are Triangles equilateral triangles?

Triangles are equilateral triangles only when all of their 3 sides are equal in lengths.


If two triangles are congruent then the perimeters are equal?

Yes.


Are the perimeters equal if two triangles are congruent?

Yes


How are equilateral triangles and isosceles triangles different?

Equilateral triangles have 3 equal sides whereas isosceles triangles have only 2 equal sides


An equilateral triangle and a square have equal perimeters what is the ratio of the area of the triangle to the area of the square?

If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.


Can equilateral triangles be isosceles triangles?

no. Equilateral triangles have all equal sides. Isoceles triangles only have 2 congruent sides. Isosceles triangles have 2 equal sides.


Is an isosclels triangle equal to an equilateral triangle?

No, they are not. Isosceles triangles have 2 equal sides and equilateral triangles have 3 equal sides.


What type of triangles has three side of equal length?

Equilateral triangle


Are equilateral triangle are acute?

Yes all equilateral triangles are acute triangles, but not all acute triangle are equilateral triangles.


Can all isosceles triangles be equilateral triangles?

No, not all isoceles triangles can be equilateral triangles because an equilateral triangle has sides that are all equal to each other and an isoceles triangle has only two sides that are equal to each other.