document.write( "Question 698535: ABCD IS A RHOMBUS, AC=10CM AND AB=12CM. FIND BD.\r
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Algebra.Com's Answer #430784 by Simnepi(216)![]() ![]() You can put this solution on YOUR website! since the angles of a rhombus bisect each other and are perpendicular and meet at E you can make right angled triangle ABE \n" ); document.write( "AB=12cm, AE=5cm and BE is half BD \n" ); document.write( "Using Pythagoras \n" ); document.write( "AE^2 + BE^2 = AB^2 \n" ); document.write( "5^2 + BE^2 = 12^2 \n" ); document.write( "25 + BE^2 = 144 \n" ); document.write( "BE^2 = 144 - 25 \n" ); document.write( "BE^2 = 119 \n" ); document.write( "BE = \n" ); document.write( "BE = 10.9cm (to 1 decimal place) \n" ); document.write( "BD = 21.8cm \n" ); document.write( " |