Law Of CosinesDrag the points A, B, and C to see the law of cosines verified for arbitrary triangles. If you think of the "-2*b*c*cos(Alpha)" as an error term for the Pythagorean Theorem in the non-right-angle case, what happens when angle Alpha > 90 degrees? Is the Pythagorean Estimate too small or too large in that case? Dave Matthews, March 29, 2007, Created with GeoGebra |