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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.

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Q: 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?
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Related questions

How is a square and equilateral triangle the same?

A square's sides have equal lengths, and an equilateral triangle's sides also have equal lengths.


How a square and an equilateral triangle are different?

A square has 4 equal sides whereas an equilateral triangle has 3 equal sides


What shapes have equal sides?

square,triangle


How are a square and an equilateral different?

A square has 4 equal sides whereas an equilateral triangle has 3 equal sides


What 2d shape does have equal sides?

equilateral square or triangle


If it is an equilateral triangle it is isosceles?

An equilateral triangle is a triangle with three equal sides. An isosceles triangle is one with two equal sides. So yes, an equilateral triangle qualifies as being an isosceles triangle as well. This is quite similar to the relationship between squares and rectangles, where a square is always a rectangle, but a rectangle isn't necessarily a square.


What shape has equal angles and proportional sides?

A square, or an equilateral triangle.


Name of a shape that has equal sides?

It is either a square or an equilateral triangle.


What has all equal sides and all equal angles?

Many different shapes; Square being the most obvious, Equilateral Triangle, Any Regular Polygon


A triangle with two equal sides?

A triangle with three equal sides is called an equilateral triangle. Such a triangle has three equal angles that add up to 180 degrees.


Is it true that when equilateral triangles have equal perimeters they must also have equal areas?

Yes.


What is the name of a shape with equal sides?

the answer is a square * * * * * No. It is equilateral. An equilateral triangle, or a rhombus are shapes that have equal sides, but neither are a square. The answer is not a regular polygon since that also requires equal angles. A rhombus is equilateral but it is not equiangular and so not regular.