document.write( "Question 310916: Find the perimeter and area of a right triangle if one leg measures 5 cm and the other leg measures 12 cm. \n" ); document.write( "
Algebra.Com's Answer #222361 by Edwin McCravy(20060)\"\" \"About 
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Find the perimeter and area of a right triangle if one leg measures 5 cm and the other leg measures 12 cm.
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document.write( "Perimeter, or peRIMeter, means to how far it is\r\n" );
document.write( "all the way around the RIM.  (You can see the word \"RIM\"\r\n" );
document.write( "inside the word \"peRIMeter\").  If we knew the hypotenuse, c,\r\n" );
document.write( "we would be able to add the three sides and get the peRIMeter. \r\n" );
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document.write( "So we use the Pythagorean theorem to find the hypotenuse c:\r\n" );
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document.write( "c2 = a2 + b2\r\n" );
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document.write( "c2 = 52 + 122\r\n" );
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document.write( "c2 = 25 + 144\r\n" );
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document.write( "c2 = 169\r\n" );
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document.write( "c = Ö169\r\n" );
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document.write( "c = 13\r\n" );
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document.write( "So now we have all three sides:\r\n" );
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document.write( "and we can find the peRIMeter by adding up the three sides:\r\n" );
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document.write( "a + b + c = 5 cm + 12 cm + 13 cm = 30 cm\r\n" );
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document.write( "You were also asked for the area.  A right triangle is one-half\r\n" );
document.write( "of a rectangle, as we can see from this picture:\r\n" );
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document.write( "The formula for a rectangle is \r\n" );
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document.write( "Area = base × height\r\n" );
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document.write( "So the area of a triangle, being one-half of a rectangle,\r\n" );
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document.write( "must be\r\n" );
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document.write( "Area = \"1%2F2\" × base × height\r\n" );
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document.write( "So\r\n" );
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document.write( "Area = \"1%2F2\" × 5 × 12\r\n" );
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document.write( "Area = \"1%2F2\" × 60\r\n" );
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document.write( "Area = 30 square cm\r\n" );
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document.write( "Edwin
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