Using the formula for area of a triangle equal to , drawing and labelling its sides, angles, and height h, then using triangle trigonometry and substitution, we can derive the formulae , where
The area of a triangle can be expressed using the lengths of two sides and the sine of the included angle. AreaΔ = ½ ab sin C. You may see this referred to as the SAS formula for the area of a triangle. With this new formula, we no longer
Let's practice using trigonometry to find the area of a right triangle with the following two examples. Example Problem 1 - An Angle and the Hypotenuse Are Given Find the area of
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