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# Parameter of rectangle equal parameter of triangle?

Wiki User

2012-08-19 03:58:25

I hope you want to know the Perimeter.

Perimeter is the total length of the boundary of the region bounded by a shape.

For a rectangle it is the sum of the 4 bounding sides, or 2*(L+B), where L is Length of the rectangle and B is Breadth of the rectangle.

For a Triangle it is the sum of the 3 sides.

If you consider an equilateral triangle. By property the 3 sides of an equilateral triangle are equal. Hence the Perimeter of an equilateral triangle is denoted as;

3*a, where a is the length of one of the sides of the triangle.

It is possible that the perimeter of a rectangle is same as that of many different types of triangles. We can formulate a relationship for a special case where the perimeter of a rectangle is equal to the perimeter of an equilateral triangle;

P(R) = P(ET), P(R) is perimeter of rectangle and P(EQ) is perimeter of Equilateral triangle.

P(R)=2(L*B) = P(EQ) = 3*a;

hence, a = (2/3)*(L*B) = P(R)/3.

i.e., the sides of the Equilateral triangle are one thirds of the perimeter of the rectangle.

Wiki User

2012-08-19 03:58:25
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