document.write( "Question 883090: How do you find the 2 other side lengths of a right triangle if you are given a side length and the perimeter of that triangle... for example: the perimeter of a right triangle is 40m, The length of the longest side of the triangle is 17m, what are the lengths of the other two sides? \n" ); document.write( "
Algebra.Com's Answer #533343 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "How do you find the 2 other side lengths of a right triangle if you are given a side length and the perimeter of that triangle... for example: the perimeter of a right triangle is 40m, The length of the longest side of the triangle is 17m, what are the lengths of the other two sides?
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document.write( "Let length of shorter and longer legs, be S and L, respectively
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document.write( "Then S + L + 17 = 40
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document.write( "S + L = 23____S = 23 – L ---- eq (i)
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document.write( "\"S%5E2+%2B+L%5E2+=+17%5E2\" ----------------- eq (ii)
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document.write( "\"%2823+-+L%29%5E2+%2B+L%5E2+=+17%5E2\" ---------- Substituting 23 – L for S in eq (ii)
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document.write( "\"529+-+46L+%2B+L%5E2+%2B+L%5E2+=+289\"
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document.write( "\"L%5E2+%2B+L%5E2+-+46L+%2B+529+-+289+=+0\"
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document.write( "\"2L%5E2+-+46L+%2B+240+=+0\"
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document.write( "\"2%28L%5E2+-+23L+%2B+120%29+=+2%280%29\"
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document.write( "\"L%5E2+-+23L+%2B+120+=+0\"
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document.write( "(L - 15)(L - 8) = 0
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document.write( "L, or longer leg = \"highlight_green%28highlight_green%2815m%29%29\"
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document.write( "S = 23 – 15 ------- Substituting 15 for L in eq (i)
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document.write( "S, or shorter leg = \"highlight_green%28highlight_green%288m%29%29\"
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document.write( "You can do the check!! \r
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