document.write( "Question 1174533: I have 16 equilateral triangles...How do I arrange them in a puzzle to make a larger equilateral triangle...? \n" ); document.write( "

Algebra.Com's Answer #799947 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Probably, you want to say that you have 16 $\"highlight%28CONGRUENT%29\"$ equilateral triangles . . . \r
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document.write( "    If you take a triangle and draw three its mid-lines, you will get\r\n" );
document.write( "    splitting of your triangle in four smaller similar triangles.\r\n" );
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document.write( "    By doing this way, you get splitting of an equilateral triangle  into\r\n" );
document.write( "    the union of four adjacent smaller equilateral triangles.\r\n" );
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document.write( "    So, having 4 equilateral triangles, you can unite them to get a \r\n" );
document.write( "    larger equilateral triangle, twice as large as the original triangles.\r\n" );
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document.write( "    Having 16 equilateral triangles, you construct first 4 larger \r\n" );
document.write( "    equilateral triangles, using quadruples of triangles;\r\n" );
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document.write( "    then you unite these 4 larger equilateral triangles to construct\r\n" );
document.write( "    even larger final equilateral triangle.\r\n" );
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