document.write( "Question 1150828: One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 28. What is the lengths of all three sides, to three decimal places. \n" ); document.write( "

Algebra.Com's Answer #772325 by Alan3354(69443) $\"\"$ $\"About$

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One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 28. What is the lengths of all three sides, to three decimal places.
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\n" ); document.write( "Assuming \"legs\" does not mean the hypotenuse c:
\n" ); document.write( "a = shortest leg
\n" ); document.write( "c^2 = a^2 + (2a)^2 = 5a^2
\n" ); document.write( "c = a*sqrt(5)
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\n" ); document.write( " $\"P+=+a+%2B+2a+%2B+a%2Asqrt%285%29+=+28\"$
\n" ); document.write( " $\"a+=+28%2F%283+%2B+sqrt%285%29%29\"$
\n" ); document.write( "You can do the arithmetic\r
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