Question

Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. a=8, b=4, A=40°

          Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.
a=8, b=4, A=40°
        
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.
a=8, b=4, A=40°

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. a=8,b=4,A=40deg Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results a=8,b=4,A=40
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Transcript

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00:01 So i have a triangle, or possibly have a triangle, and it's abc, so i'm just putting a place to record information.
00:10 Angle a is 53 degrees and side a is 14.
00:16 Side c is 15 .4.
00:18 So i'm going to use law of sines to find angle c.
00:24 I'm going to cross multiply and divide both sides by 14.
00:39 So 15 .4 times the sine of 53 divided by 14 is going to give me a sine of c equal to .8785.
00:52 C is then the inverse, so second sine .8785.
01:02 That's going to give me an angle that measures 61 .46, so 61 .5 degrees.
01:14 I have to consider the supplement to that angle, so i'm going to subtract 61 .5 from 180, and that gives me 118 .5 degrees.
01:31 That also fits in my triangle, so that means i have two possible triangles.
01:40 I'm going to label a second one...
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