Calculating the Area of a Triangle using the Sine Rule

The video tutorial explains how to calculate the area of a triangle using the formula 1/2 ab sinC. It provides an example calculation, a proof of the formula using trigonometry, and a practical application for calculating the area of a field. Additionally, it demonstrates how to work backwards from a given area to find an angle. The tutorial emphasizes the importance of having two sides and the included angle for using this formula.

What is the relationship between the sides of a triangle and the sine of the included angle in the area formula?

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In the context of the sine rule, how would you approach calculating the area of a field divided into two triangles?

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Describe how to rearrange the formula for the area of a triangle to solve for an angle given the area.

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