Area of a Triangle Trig
Area of a Triangle Trig
We are all familiar with the formula for the area of a triangle, A = 1/2 bh , where b stands for the base and h stands for the height drawn to that base.
In the triangle shown below, the area could be expressed as: A= 1/2ah
Now, let's be a bit more creative and look at the diagram again. By using the right triangle on the left side of the diagram, and our knowledge of trigonometry, we can state that: Sin c =h/b
b Sin c = h
This tells us that the height, h, can be expressed as b sinC.
If we substitute this new expression for the height, we can write the triangle area formula as: A = 1/2 ab Sin C
In the triangle shown below, the area could be expressed as: A= 1/2ah
Now, let's be a bit more creative and look at the diagram again. By using the right triangle on the left side of the diagram, and our knowledge of trigonometry, we can state that: Sin c =h/b
b Sin c = h
This tells us that the height, h, can be expressed as b sinC.
If we substitute this new expression for the height, we can write the triangle area formula as: A = 1/2 ab Sin C
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