document.write( "Question 363809: An equilateral triangle has the same area as a square.Express the perimeter of the triangle as a fraction of the perimeter of the square. \n" ); document.write( "

Algebra.Com's Answer #259457 by amoresroy(361) $\"\"$ $\"About$

You can put this solution on YOUR website!
Square Triangle Explaination
\n" ); document.write( "Side x
\n" ); document.write( "Area x^2 x^2
\n" ); document.write( "Perimeter 4x\r
\n" ); document.write( "\n" ); document.write( "Area of Square = Area of Equilateral Triangle
\n" ); document.write( " x^2 = b * h (where h = 3^^1/2 b)
\n" ); document.write( " = 3^1/2 b^2
\n" ); document.write( " x = 1.316 b
\n" ); document.write( " b = .76x\r
\n" ); document.write( "\n" ); document.write( "Perimeter of Triangle = 6b
\n" ); document.write( " = 6(.76) x
\n" ); document.write( " = 4.559 x\r
\n" ); document.write( "\n" ); document.write( "Perimeter of Triangle as a function of Perimeter of Suare;\r
\n" ); document.write( "\n" ); document.write( " 4.559 x / 4 x = 1.14\r
\n" ); document.write( "\n" ); document.write( "The perimeter of the equi triangle is 1.14 times the perimetrer of square \n" ); document.write( "

\n" );