document.write( "Question 659679: A flower garden is in the shape of a right triangle. The longest side of the triangle is 13m. One of the
\n" );
document.write( "shorter sides (legs) is 7 m longer than the other. Find the length of the two sides.\r
\n" );
document.write( "\n" );
document.write( "I know the answers, I just need to know how to show my work. \n" );
document.write( "
Algebra.Com's Answer #410864 by ReadingBoosters(3246) ![]() You can put this solution on YOUR website! Using Pythagorean Theorem, plug in a, b and c \n" ); document.write( "a^2 + (7+a)^2 = c^2 \n" ); document.write( "a^2 + (7+a)(7+a) = c^2 \n" ); document.write( "a^2 + a^2 + 7a + 7a + 49 = 13^2 \n" ); document.write( "Combine like terms \n" ); document.write( "2a^2 + 14a + 49 = 169 \n" ); document.write( "2a^2 + 14a + 49 - 169 = 169 - 169 \n" ); document.write( "2a^2 + 14 - 120 = 0 \n" ); document.write( "2(a^2 + 7 - 60) = 0 \n" ); document.write( "2(a-5)(a+12)=0 \n" ); document.write( "2(a-5)(a+12)/2=0/2 \n" ); document.write( "a - 5 = 0; a = 5 \n" ); document.write( "a +12 = 0; a = -12 \n" ); document.write( "so, a =5, b = 12 and c = 13\r \n" ); document.write( "\n" ); document.write( "Proof \n" ); document.write( "5^2 + 12^2 = 13^2 \n" ); document.write( "25 + 144 = 169 \n" ); document.write( "13^2 = 169 \n" ); document.write( " |