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In Problems 25-36, two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s).
, ,
![Check Mark](/static/check-mark.png)
To find: The given information results in one triangle, two triangles, or no triangle at all.
Answer to Problem 35AYU
Solution:
Two triangles will be formed from the given information.
Explanation of Solution
Given:
and
Formula used:
Calculation:
Two sides and one angle are known, use the law of sines to find the angle
There are two angles , for which
and
Both choices of A result in . There are two triangles, one containing the angle and the other containing the angle so angle and
Case 1
When B1
case 2
two triangles will be formed from the given information.
and
and
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities
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