To find: the area of the
Given information:
The image of
Definition Used:
Law of Sines
The law of sines can be written in either of the following forms for
Area of a triangle
The area of any triangle is given by one half the product of the lengths of two sides times the sine of their included angle. For
shown, there are three ways to calculate the area:
Explanation:
Comparing the given triangle with the following figure:
Now, by the law of Sines,
It is known that the sum of all the angles of a triangle is
Using this knowledge to find angle A,
Using the above mentioned formula, the area of the given triangle is:
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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