document.write( "Question 226386: What are the dimensions of a right angle triangle that is similar to the 3 -4 -5
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document.write( "Right-angled triangle, and that has an area four times as large?\r
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document.write( "a.4-5-7 b. 4-12-13 c. 6-8-10 d. 9-12-15 e. 12-16-20
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Algebra.Com's Answer #168580 by Theo(13342)![]() ![]() You can put this solution on YOUR website! Area equals bh/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you double each dimension, you would probably get an area 4 times as large.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Try 6-8-10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "base and height will be 3 and 4 in the original triangle to get an area of 12/2 = 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "base and height will be 6 and 8 in the new triangle to get an area of 48/2 = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24/6 = 4 meaning the new triangle area is 4 times as large as the original triangle area.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your answer should be C.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your new triangle should also be proportionate to the original triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6-8-10 is exactly double 3-4-5 in the same proportions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer B would give you the same area, but the proportions would be off.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3-4-5 and 4-12-13 do not have the same porportions for all of the dimensions.\r \n" ); document.write( "\n" ); document.write( "4/3 not equal to 2 \n" ); document.write( "12/4 not equal to 2 \n" ); document.write( "13/5 not equal to 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer C keeps the proportions the same\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6/3 = 2 \n" ); document.write( "8/4 = 2 \n" ); document.write( "10/5 = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Keeping the sides in porportions means the angles will stay the same meaning you have the same triangle only larger. The triangle would be similar.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |