To Identify: the case (AAS, ASA, or SSA) applicable to the given measurements. Then decide whether the measurements determine one triangle, two
SSA Case
No triangle
Given information:
The given measurements of a triangle are:
Explanation:
Here, the given measurements are that of one angle and two sides. So, this is a SSA case.
Now, the angle given is
In the SSA case, when the angle is acute, there are three possibilities: no triangle
Here,
So, clearly
Now, let h be the height from C to c . Then, h is given by:
That is,
This implies that the given measurements determines no triangle.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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