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To calculate: The dimensions of triangle, where
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Answer to Problem 9CR
Solution:
The dimensions of first triangle are angles
The dimensions of another triangle are
Explanation of Solution
Given information:
Formula used:
The sum of the angles of any triangle equals
Law of cosine:
For the triangle with sides
Calculation:
To solve triangle, first find the side
Here,
Substitute these values in
Simplify the above equation
Solve the above quadratic equation by using quadratic formula.
Compare equation with standard quadratic equation to find
Therefore,
There are two values of side
To find angles
By using the cosine rule
By rearranging the above equation,
Here,
Therefore,
Taking
To find the angle
Here,
The sum of the angles of any triangle equals
Therefore, dimensions of first triangle are angles
To find angles
By using the cosine rule
By rearranging the above equation,
Here,
Therefore,
Taking
Now, to find the angle
Here,
The sum of the angles of any triangle equals
Thus, the dimensions of triangle are
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities
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