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Copy of Math 9 - Sine Law

The Law of Sine

The Law of Sines does tell us that for any triangle, the ratio of any side length to the sine of the angle opposite that side is equal to the ratio of any other side length to the sine of the angle opposite that other side.

Now, let us observe the law of sines in action. Tick the boxes A, B, and C to show its ratios. Observe what happens.

Adjust the values of the angles and the sides by sliding the points A, B, C. Apply the sine law. Compute for

Use the same triangle and compute for

Use the same triangle and compute for

What did you observe?

Is this true for all? Try some more values using the applet below. This time check the box A, B, C to check for the ratios.