document.write( "Question 776731: if the hypotenuse is 150cm and the ration for the sides is 16:9. whats are the side lengths and ow do you figure it out?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #473730 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! we start with Pythagorean theorem, a^2 + b^2 = h^2 \n" ); document.write( "we are given the hypotenuse, 150, and the ratio of the other two sides, 16:9 \n" ); document.write( "we can now rewrite the Pythagorean theorem formula for this triangle, \n" ); document.write( "150^2 = (16x)^2 + (9x)^2 \n" ); document.write( "22500 = 256x^2 + 81x^2 \n" ); document.write( "22500 = 337x^2 \n" ); document.write( "x = 8.17 and \n" ); document.write( "side a = 16 * 8.17 = 130.72 cm \n" ); document.write( "side b = 9 * 8.17 = 73.53 cm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |