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The Area of a Triangle: SAS Formula

The 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)

The Side Angle Side Formula

= ½ (42 ×16) × sin(68 °) Side Angle Side Formula example

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.Side Angle Side formula to find 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 Formula

Practice Problems

SAS formula for triangle Use the Side Angle Side formula to find the area of the triangle on the left.

  Area  


Side angle side to find area Use side angle side formula to find the area of the triangle on the left.

  Area  


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