document.write( "Question 480781: How do you find the missing length if a triangle using the Pythagorean Theorem? I know the whole equation a2+b2=c2 but I have no idea how to apply it correctly. Please help me ASAP I need the answer well before August 29th (when school starts) Thank You! \n" ); document.write( "
Algebra.Com's Answer #329241 by Theo(13342)![]() ![]() You can put this solution on YOUR website! a right triangle has 2 legs and a hypotenuse. \n" ); document.write( "the hypotenuse is opposite the 90 degree angle. \n" ); document.write( "the 2 legs are opposite the other angles of the triangle. \n" ); document.write( "if you know 2 of the dimensions then you simply use the formula to solve for the remaining dimension. \n" ); document.write( "assume one of the legs is equal to a and the other leg is equal to b and the hypotenuse is equal to c. \n" ); document.write( "then the formula is: \n" ); document.write( "c^2 = a^2 + b^2 \n" ); document.write( "suppose you know the value of a and b \n" ); document.write( "you substitute for a and b in the equation and solve for c. \n" ); document.write( "assume a = 6 and b = 8 \n" ); document.write( "the formula becomes: \n" ); document.write( "c^2 = 6^2 + 8^2 = 36 + 64 = 100 \n" ); document.write( "now you take the square root of both sides of the equation to get: \n" ); document.write( "c = sqrt(100) = 10 \n" ); document.write( "now suppose you knew that c was equal to 10 and a was equal to 6. \n" ); document.write( "your equation of: \n" ); document.write( "c^2 = a^2 + b^2 becomes: \n" ); document.write( "10^2 = 6^2 + b^2 which becomes: \n" ); document.write( "100 = 36 + b^2 \n" ); document.write( "you subtract 36 from both sides of the equaton to get: \n" ); document.write( "100 - 36 = b^2 \n" ); document.write( "you simplify to get: \n" ); document.write( "64 = b^2 \n" ); document.write( "you take the square root of both sides of the equation to get: \n" ); document.write( "8 = b \n" ); document.write( " \n" ); document.write( " |