document.write( "Question 717056: The perimeter of a rhombus is 40 cm, and one diagonal is 12 cm long. How long is the other diagonal?\r
\n" ); document.write( "\n" ); document.write( "This question was already answered, but I don't understand the solution posted. Please help me!
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Algebra.Com's Answer #440122 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
All 4 sides in a rhombus have the same length \"s\" and that makes the perimeter \"4s\"
\n" ); document.write( "\"4s=40cm\" --> \"s=10cm\"
\n" ); document.write( "The diagonals split the rhombus into 4 congruent triangles, like this:
\n" ); document.write( " In the right triangle with the colorful side measurements marked, the vertical leg (red) is half of the 12 cm diagonal, so it measures 6 cm.
\n" ); document.write( "The hypotenuse is the blue side of the rhombus, measuring 10 cm.
\n" ); document.write( "The horizontal leg (green) measures x cm, and is half of the (green) horizontal diagonal.
\n" ); document.write( "According to the Pythagorean theorem about right triangles,
\n" ); document.write( "\"x%5E2%2B8%5E2=10%5E2\" --> \"x%5E2%2B64=100\" --> \"x%5E2=100-64\" --> \"x%5E2=36\" --> \"x=6\"
\n" ); document.write( "The length of the other (green) diagonal is \"2%2Ax=2%2A6cm=highlight%2812cm%29\"
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