document.write( "Question 1031786: I want to see how you derived the formula for calculating areab of a kite \n" ); document.write( "

Algebra.Com's Answer #646430 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "I want to see how you derived the formula for calculating area of a kite
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document.write( "The diagonals divide a kite in four right-angled triangles.\r\n" );
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document.write( "One of the two diagonals divide a kite in two isosceles triangles.\r\n" );
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document.write( "(These are almost direct and immediate consequences of a kite definition).\r\n" );
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document.write( "Let us consider that diagonal. Let  be its length.\r\n" );
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document.write( "The area of one isosceles triangle is , where  is its height.\r\n" );
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document.write( "The area of the second isosceles triangle is , where  is the height of the second isosceles triangle.\r\n" );
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document.write( "The area of the kite is the sum of these expression, and the sum is equal to ,\r\n" );
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document.write( "where  is the second diagonal's length.\r\n" );
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document.write( "So, the final formula is S = , where the diagonal lengths participate.\r\n" );
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