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The Area of a Triangle: SAS FormulaThe Side Angle Side Formula
The Side Angle Side formula for finding the area of a triangle is a way to use the sine trigonometric function to calculate the height of a triangle and use that value to find the area of the triangle.
The SAS formula = ½ (side1 × side2) × sine(included angle) included angle |Area of Triangles (no trigonometry) | Sine, Cosine, Tangent Worksheet of this page| Practice Problems The Side Angle Side Formula= ½ (42 ×16) × sin(68 °)
The Side Angle Side formula simply is an application of the sine function to find the height. For more information, read below.
To use the Side Angle Side Formula, make sure that you are proficient using SOHCAHTOA. Specifically, you should be able to solve problems like the one immediately below. The SAS formula is simply an application of sine to find the height of a triangle and then to use that height to find the triangle's area.
In the triangle on the left, how long is h? Length of H
More review practice of SOHCAHTOA and the sine function.
Side Angle Side FormulaPractice Problems
Use the Side Angle Side formula to find the area of the triangle on the left.
Area Area= ½(152 ×192(sin73°)) =13,954 
Use side angle side formula to find the area of the triangle on the left.
Area Area= ½(66×83(sin79°)) = 2,689 Top
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