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To find: The remaining angle(s) and side(s) of the triangle, if it(they) exist.
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Answer to Problem 28RE
The two possible triangle measurements are
Explanation of Solution
Given:
The sides
Calculation:
The Sine Law for a triangle
Given the sides a and b , and the angle A , angle B can be determined as follows:
Since there are 2 possible values for the angle B , two possible triangles exist.
Case I:
With the two angles known, the third angle C is determined as shown below:
The third side c is determined using the Sine Law as shown below:
Case II:
With the two angles known, the third angle C is determined as shown below:
The third side c is determined using the Sine Law as shown below:
So, the two possible triangle measurements are
Chapter 8 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Glencoe Math Accelerated, Student Edition
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
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