document.write( "Question 1210279: ABFE is a square. EBCD is a kite. Find the area of the composite figure.
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Algebra.Com's Answer #851838 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I've been tutoring a high school kid in geometry recently, and discovered \r\n" );
document.write( "that these days, schools are really stressing special right triangles, using\r\n" );
document.write( "ratio and proportion between the \"standard\" special right triangles, and the\r\n" );
document.write( "right triangles they are given.  So I will use that approach entirely.  \r\n" );
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document.write( "The figure is composed of \r\n" );
document.write( "three 45-45-90 congruent right triangles, BAE, BFE, and BFC.\r\n" );
document.write( "and\r\n" );
document.write( "two 30-60-90 congruent right triangles, DFE and DFC\r\n" );
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document.write( "Each 45-45-90 right triangle has hypotenuse 12.\r\n" );
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document.write( "We set up a ratio between the \"standard\" 45-45-90 right triangle and\r\n" );
document.write( "the given 45-45-90 right triangle, letting the leg be x:\r\n" );
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document.write( "\"hypotenuse%2Fleg=hypotenuse%2Fleg\"\r\n" );
document.write( "\"12%2Fx=sqrt%282%29%2F1\"\r\n" );
document.write( "\"12=x%2Asqrt%282%29\"\r\n" );
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document.write( "So the area of each 45-45-90 right triangle is \r\n" );
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document.write( "Each 30-60-90 right triangle has shorter leg \"6sqrt%282%29\"\r\n" );
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document.write( "We set up a ratio between the standard 30-60-90 right triangle and\r\n" );
document.write( "your 30-60-90 right triangles, letting the longer leg be x:\r\n" );
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document.write( "\"%28x%29%2F%286sqrt%282%29%29=sqrt%283%29%2F1\"\r\n" );
document.write( "\"x=6sqrt%282%29%2Asqrt%283%29=6%2Asqrt%286%29\"\r\n" );
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document.write( "Since the figure is composed of three 45-45-90 congruent right triangles, and\r\n" );
document.write( "two 30-60-90 congruent right triangles,\r\n" );
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document.write( "The area of the composite figure is \"3%2A36%2B2%2A36sqrt%283%29\"\r\n" );
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document.write( "or \"108%2B72sqrt%283%29\"\r\n" );
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document.write( "Edwin
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