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Determine whether the given information results in one triangle, two triangles, or no triangle at all.

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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 triangle(s) that results.

a = 3,    b = 2,     A = 50o

asked Nov 27, 2017 in PRECALCULUS by anonymous

1 Answer

0 votes

Applying sine rule in the given triangle:

a/sinA = b/sinB

sinB = b*sinA/a =2*sin50/3 =0.511

B1 = 30.73 ; B2 = 180 - 30.73 = 149.27 deg

Angle C1 = 180 - A- B1 = 99.27 deg

Angle C2 = 180 -A -B2 =- 19.27 deg

Not possibe

So only one triangle possible.

answered Dec 11, 2017 by johnkelly Apprentice
reshown Dec 11, 2017 by bradely

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