Area of a Triangle
The area "K" of a triangle is given by:
K= 1/2*a*b*sinC |
K= 1/2*b*c*sinA |
K= 1/2*a*c*sinB |
All of these formulas are equal to each other, and have the same basic pattern:
K= 1/2 * (one side)(other side)(sine of the included angle)
Where the included angle is the angle between the two given sides, or the only available angle
Example
Given triangle ABC:
If side a is 7cm and side b is 4 cm, and the included angle is 73�, what is the area (K) of the triangle?
K=1/2*7*4*sin(73)is approximately 13.4 cm.
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