Relationship between sides & angles of a RIGHT triangle.

If you know the side lengths of a right triangle, can you predict what the angles will be?

. Side AC: 9 9 9 9 9 9 . Side BC: 9 8 7 6 5 4 . Hypotenuse AB: 12 12.042 11.402 10.817 10.296 9.849 . Angle A: 45 41.63 37.88 33.69 29.05 23.96 . Angle B: 45 48.37 52.13 56.31 60.95 66.04 . . Side AC: 9.5 8.5 7.5 6.5 5.5 4.5 . Side AB: 9 9 9 9 9 9 . Hypontenuse BC: 13.086 12.379 11.715 11.102 10.548 10.062 . Angle :B 46.548 43.363 39.806 35.838 31.43 26.565 . Angle C: 43.452 46.636 50.194 54.162 58.57 63.435 . . Side AC: 8 8 8 8 8 8 . Side BC: 9 8 7 6 5 4 . Hypotenuse AB: 12.042 11.314 10.63 10 9.434 8.944 . Angle A: 48.37 45 41.19 36.87 32.01 26.57 . Angle B: 41.63 45 48.81 53.13 57.99 63.44

This chart shows the relationship between the changing of the sides and the angles. One pattern that I noticed is that when you change the size of side AC which is the longer side of the triangle, Angle A decreases in it's size, however the size of Angle B increases. This pattern also works when you change the length of side BC the shorter side of the triangle. Just as the measurement of Angle A, the size of the hypotenuse decreases.