document.write( "Question 1156830: A triangle has a 3-inch side, a 4-inch side, and a 5-inch side. The altitude drawn to the 5-inch side cuts this side into segments of what lengths? \n" ); document.write( "
Algebra.Com's Answer #779602 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Can draw the altitude to the hypotenuse and have legs x and 5-x, and define x as the longer. \n" ); document.write( "x^2+a^2=16, for one triangle \n" ); document.write( "(5-x)^2+a^2=9 \n" ); document.write( "subtracting, one gets x^2-(5-x)^2=7 \n" ); document.write( "this works out to x=3.2 and 5-x=1.8 units inches. These can be shown to be consistent with the Pythagorean theorem for both triangles. \n" ); document.write( " |