document.write( "Question 1199847: What is the area in the figure below, in m^2?
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Algebra.Com's Answer #833998 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "What is the area in the figure below, in m^2?\r\n" );
document.write( "https://imgur.com/a/mBEHVsO\r\n" );
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document.write( "You can use the fact that if the sides of similar triangles are in a certain ratio, then their areas'\r\n" );
document.write( "ratio  will be the SQUARED VALUES of that ratio. \r\n" );
document.write( "Area of larger ΔABC = (AB)(AC) = (7)(24) = 7(12) = 84 m².\r\n" );
document.write( "So, shorter leg (ED) of smaller ΔCED to shorter leg of larger ΔABC results in a   ratio. \r\n" );
document.write( "Thus, the area of smaller ΔCED will be: \r\n" );
document.write( "OR\r\n" );
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document.write( "Larger ΔABC and smaller ΔCED (shaded) are SIMILAR.\r\n" );
document.write( "Larger ΔABC boasts a 7-24-25 Pythagorean Triple, and AB and AC on larger ΔABC are 7 and 24 m, respectively.\r\n" );
document.write( "Using triangular similarity (larger ΔABC to smaller ΔCED) theory to find segment EC on smaller ΔCED, we get: \r\n" );
document.write( "7EC = 4(24) ---- Cross-multiplying \r\n" );
document.write( ". With lengths of EC and ED (longer and shorter legs of ΔCED) being  and 4,\r\n" );
document.write( "                      we get:  \r\n" );
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