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Side Angle Side Calculator
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Side angle side calculator is used for finding the area of a triangle. Although it uses the trigonometry sine function, it works for any triangle not only just for right triangles.

Side Angle Side

If height is not mentioned then we can go for trigonometry sine function which is has follows.
 

Step by Step Calculation

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Step 1 :  

SAS Formula:


 


Area = $\frac{ab\ SinC}{2}$


 


Where 'a' and 'b' are two sides for the triangle


 


C is included angle (i.e. the angles between a two known sides)



Step 2 :  

Put the values in the formula and calculate it further.



Example Problems

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  1. Find the area of the triangle with two sides given that is 8 cm, 6 cm and angle of 300.


    Step 1 :  

    Given:


     


    Side A = 8 cm


     


    Side B = 6 cm


     


    Angle C = 30 degree


     


    Formula:


     


    Area = $\frac{ab\ SinC}{2}$



    Step 2 :  

    Put the values in the formula and calculate it further


     


    Area = $\frac{8 * 6 * Sin 30}{2}$


     


    Area = 0.5 * 0.5 * 8 * 6


     


    Area = 12 cm2



    Answer  :  

    Area of the Triangle = 12 cm2



  2. Find the area of the triangle with two sides given that 10 cm, 12 cm and angle = 1200.


    Step 1 :  

    Given:


     


    Side A = 12 cm


     


    Side B = 10 cm


     


    Angle = 1200.


     


    Formula:


     


    Area = $\frac{ab\ SinC}{2}$



    Step 2 :  

    Put the values in the formula and calculate it further


     


    Area = $\frac{12 * 10 * Sin 120}{2}$


     


    Area = 30 cm2 * 1.71


     


    Area = 51.96 cm2



    Answer  :  

    Area of the triangle = 51.96 cm2



*AP and SAT are registered trademarks of the College Board.