document.write( "Question 1070786: Help Needed Thank You!\r
\n" ); document.write( "\n" ); document.write( "1. One side of a right-angled triangle is 7cm longer than the other side and hypotenuse is 4cm less than the sum of the other two sides.\r
\n" ); document.write( "\n" ); document.write( "i. Draw a diagram representing this information.\r
\n" ); document.write( "\n" ); document.write( "ii. Using Pythagoras' Theorem, form an equation representing the relationship between the three sides of the triangle. (Leave your answer in the simples form)\r
\n" ); document.write( "\n" ); document.write( "iii. Find the length of the shortest side.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much if you answer this. I really appreciate it!
\n" ); document.write( "

Algebra.Com's Answer #685779 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"x%5E2%2B%28x%2B7%29%5E2=%28x%2Bx%2B7-4%29%5E2\"
\n" ); document.write( "\"x%5E2%2B%28x%5E2%2B14x%2B49%29=%282x%2B3%29%5E2\"
\n" ); document.write( "\"2x%5E2%2B14x%2B49=4x%5E2%2B12x%2B9\"
\n" ); document.write( "\"2x%5E2-2x-40=0\"
\n" ); document.write( "\"x%5E2-x-20=0\"
\n" ); document.write( "\"%28x-5%29%28x%2B4%29=0\"
\n" ); document.write( "Two solutions but only one is positive,
\n" ); document.write( "\"x-5=0\"
\n" ); document.write( "\"x=5\"
\n" ); document.write( "The shortest side is \"x\"\"cm\" long, so the shortest side is 5 cm.
\n" ); document.write( "
\n" ); document.write( "
\n" );