document.write( "Question 1038133: I am given the B leg and the hypotenuse the B leg being 6 meters and the hypotenuse being (2x-6) meters. It wants me to find the lengths of two legs and the hypotenuse. I've tried it for the past hour now and cant figure it out.. \n" ); document.write( "
Algebra.Com's Answer #652836 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The square of the A leg is the hypotenuse squared minus 36, B squared \n" ); document.write( "That is 4x^2-24x+36-36=4x^2-24x \n" ); document.write( "A^2=4x^2-24x \n" ); document.write( "A= sqrt (4x^2-24x) \n" ); document.write( "This must be greater than 0, 4x^2>24x, x>6, \n" ); document.write( "Therefore, x must be greater than (6); \n" ); document.write( "There are infinite possibilities greater than (6)\r \n" ); document.write( "\n" ); document.write( "if x=7, we have a 6, sqrt(28) and 8 triangle, the squares on both sides=64 \n" ); document.write( "if x=10, we have a 6, sqrt (160) and 14 triangle. \n" ); document.write( "If two sides are both x, there are infinite ways they can work to form a right triangle. They still have to fit with the Pythagorean theorem. \n" ); document.write( " \n" ); document.write( " |