To calculate:
The
Answer to Problem 33PPS
The measurements of triangle are
Explanation of Solution
Given information:
Concept used:
Law of cosines:
Calculation:
With the help of the above diagram it is easy to get all three sides and no angle. So, with the help of the Law of cosines get the missing angle.
Use the law of cosines:
Law of Cosines:
So, first substitute
Now, simplify
Now, solve for
Now use the inverse cosine ratio to get the value of
Similarly, use the law of cosines to get the measure of angle
So, substitute
Now, simplify
Now, solve for
Now use the inverse cosine ratio to get the value of
The sum of the angles of a triangle is
Therefore, the measurements of triangle are
Chapter 8 Solutions
Geometry, Student Edition
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