document.write( "Question 70503: The lengths of diagonals of a rhombus are in the ratio 2:1. If the perimeter of the rhombus is 20, find the sum of the lengths of the diagonals.\r
\n" ); document.write( "\n" ); document.write( "I know that each side is 5. ( 20/4=5)
\n" ); document.write( "I know the diagonals are perpendicular to each other.
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Algebra.Com's Answer #50438 by ankor@dixie-net.com(22740)\"\" \"About 
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he lengths of diagonals of a rhombus are in the ratio 2:1. If the perimeter of the rhombus is 20, find the sum of the lengths of the diagonals.\r
\n" ); document.write( "\n" ); document.write( "I know that each side is 5. ( 20/4=5)
\n" ); document.write( "I know the diagonals are perpendicular to each other.
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\n" ); document.write( "Heres one way
\n" ); document.write( "Since the diagonals are perpendicular, there are 4 right triangles.
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\n" ); document.write( "Draw a rough diagram. Label each half of the diagonals: Half the longer diagonal
\n" ); document.write( " = 2x, half the shorter diagonal = x.
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\n" ); document.write( "One right triangle will have one side as x and the other as 2x, the hypotenuse
\n" ); document.write( "will = 5
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\n" ); document.write( "x^2 + (2x)^2 = 5^2
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\n" ); document.write( "x^2 + 4x^2 = 25
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\n" ); document.write( "5x^2 = 25
\n" ); document.write( "x^2 = 5
\n" ); document.write( "x = Sqrt(5)
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\n" ); document.write( "Total length of the diagonals = 6*Sqrt(5) = 13.4 units
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\n" ); document.write( "did this make sense to you? \n" ); document.write( "
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