Friday, March 27, 2009

If you know the side lengths of a right triangle, can you pretict what the angles will be? #3

I noticed that when you change a side, it also affects the angle. When all sides are equal, all the angles are equal. It is hard to find angles without one given angle. It would be easier to find the angles by using a protractor. If you increase the sides, the angles increase also. if you decrease the sides, the angles decrease. I haven't found a pattern yet. The sides of the triangles are whole numbers. The angles of the triangles are decimals. The angles don't increase or decrease in a certain order.

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









.

Side AC:999999

.

Side BC:987654

.

Hypotenuse AB:1212.04211.40210.81710.2969.849

.

Angle A:4541.6337.8833.6929.0523.96

.

Angle B:4548.3752.1356.3160.9566.04

.



.

Side AC:9.58.57.56.55.54.5

.

Side AB:999999

.

Hypontenuse BC:13.08612.37911.71511.10210.54810.062

.

Angle :B46.54843.36339.80635.83831.4326.565

.

Angle C:43.45246.63650.19454.16258.5763.435

.



.

Side AC:888888

.

Side BC:987654

.

Hypotenuse AB:12.04211.31410.63109.4348.944

.

Angle A:48.374541.1936.8732.0126.57

.

Angle B:41.634548.8153.1357.9963.44


-Chart Taken From Dominique's Page

This shows the relationship between 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's measure decreases, but the measure 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.

1 comment:

  1. So it looks like you have found some general patterns, but not any specific patterns. What original questions about right triangles do you have? How do you plan to investigate these questions?

    ReplyDelete