document.write( "Question 156174This question is from textbook College Algebra
\n" ); document.write( ": Ski Jump. The base of a ski ramp forms a right triangle. One leg of the triangle is 2 meters longer than the others. If the hypotenuse is 10 meters, then what are the lengths of the legs? \n" ); document.write( "

Algebra.Com's Answer #115781 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
let $\"x=adjacent\"$
\n" ); document.write( " $\"x%2B2=opposite\"$ , 2 meters longer
\n" ); document.write( " $\"10m=hypotenuse\"$
\n" ); document.write( "by Pyth theorem:
\n" ); document.write( " $\"hyp%5E2=adj%5E2%2Bopp%5E2\"$
\n" ); document.write( " $\"10%5E2=x%5E2%2B%28x%2B2%29%5E2\"$
\n" ); document.write( " $\"100=x%5E2%2Bx%5E2%2B4x%2B4\"$
\n" ); document.write( " $\"2x%5E2%2B4x%2B4-100=0\"$ ---> $\"2x%5E2%2B4x-96=0\"$ , Divide the whole eqn by 2 to reduce
\n" ); document.write( "

\n" ); document.write( " $\"x%5E2%2B2x-48=0\"$
\n" ); document.write( "BY QUADRATIC, $\"a=1\"$ , $\"b=2\"$ , & $\"c=-48\"$
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x=%28-2%2B-sqrt%282%5E2-4%2A1%2A-48%29%29%2F%282%2A1%29\"$
\n" ); document.write( " $\"x=%28-2%2B-sqrt%284%2B192%29%29%2F2=%28-2%2B-sqrt%28196%29%29%2F2\"$
\n" ); document.write( " $\"x=%28-2%2B-14%29%2F2\"$ , 2 values:
\n" ); document.write( " $\"x=%28-2%2B14%29%2F2=12%2F2=6\"$ ---------------------> TO BE USED
\n" ); document.write( " $\"x=%28-2-14%29%2F2=-16%2F2=-8\"$ -------------------> DON'T USE (-)
\n" ); document.write( "So, $\"adjacent=x=6meters\"$
\n" ); document.write( " $\"opposite=x%2B2=6%2B2=8meters\"$
\n" ); document.write( "In doubt? go back Pyth Theorem:
\n" ); document.write( " $\"10%5E2=6%5E2%2B8%5E2\"$
\n" ); document.write( " $\"100=36%2B64\"$
\n" ); document.write( " $\"100m=100m\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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