document.write( "Question 1083151: Find the height of a rhombus with a side 10cm and a diagonal 12 cm \n" ); document.write( "

Algebra.Com's Answer #697194 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Draw the diagonal of the rhombus.\r\n" );
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document.write( "The diagonals divide the rhombus in four right-angled congruent triangles \r\n" );
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document.write( "    (since the diagonals of the rhombus bisect each other and are perpendicular).\r\n" );
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document.write( "Each small right-angled triangle has the hypotenuse of 10 cm and one leg of  = 6 cm.\r\n" );
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document.write( "Hence, the second leg of each small right angled triangle is  =  =  = 8 cm.\r\n" );
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document.write( "Then the area of each small right-angled triangle  is  = 24 cm^2.\r\n" );
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document.write( "Thus the area of the rhombus is 4*24 = 96 cm^2.\r\n" );
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document.write( "Then the height of the rhombus =  = 9.6 cm.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On properties of rhombis, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Diagonals of a rhombus are perpendicular\r
\n" ); document.write( "\n" ); document.write( "    - Diagonals of a rhombus bisect its angles\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( "    GEOMETRY - YOUR ONLINE TEXTBOOK \r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part if this textbook under the topic \"Properties of rhombis\".\r
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