document.write( "Question 24078: will you please help me with this word problem. The area of a right triangle is 250in2.find the lengths of its legs if one leg is 5 inches longer than the other. \n" ); document.write( "

Algebra.Com's Answer #12822 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The formula for area is:
\n" ); document.write( " $\"A+=+%281%2F2%29%2Ab%2Ah\"$ where b = base and h = height
\n" ); document.write( "Let the shorter leg = b
\n" ); document.write( "Then the longer leg = h = b + 5
\n" ); document.write( " $\"250+=+%281%2F2%29%2Ab%2A%28b%2B5%29\"$
\n" ); document.write( " $\"250+=+%281%2F2%29%2Ab%5E2%2B%281%2F2%295%2Ab\"$
\n" ); document.write( " $\"b%5E2+%2B+5%2Ab+-+500+=+0\"$
\n" ); document.write( " $\"%28b+-+20%29%28b+%2B+25%29+=+0\"$
\n" ); document.write( "this is true if b =20 or if b = -25
\n" ); document.write( "if b = 20, then h =25
\n" ); document.write( "then solve for A
\n" ); document.write( "A = 250 \n" ); document.write( "

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