Question

Assume α is
opposite side a, β
is opposite side b,
and γ is opposite
side c. Determine
whether there is no
triangle, one triangle,
or two triangles.
Then solve each
triangle, if possible.
Round each answer
to the nearest
tenth ?=20.5,?=35.0,?=25°

Answer #1

Assume α is opposite side a, β is opposite side b, and γ is
opposite side c. Solve the triangle, if possible. Round your
answers to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
α = 60°, β = 60°, γ = 60°
a=
b=
c=

1. Let the angles of a triangle be α, β, and
γ, with opposite sides of length a, b,
and c, respectively. Use the Law of Cosines and the Law of
Sines to find the remaining parts of the triangle. (Round your
answers to one decimal place.)
α = 105°; b =
3; c = 10
a=
β= ____ °
γ= ____ °
2. Let the angles of a triangle be α,
β, and γ, with opposite sides of length
a, b,...

Let the angles of a triangle be α, β, and
γ, with opposite sides of length a, b,
and c, respectively. Use the Law of Cosines to find the
remaining side and one of the other angles. (Round your answers to
one decimal place.)
α = 46°; b =
12; c = 18

Let the angles of a triangle be α, β, and
γ, with opposite sides of length a, b,
and c, respectively. Use the Law of Sines to find the
remaining sides. (Round your answers to one decimal place.)
β = 99°; γ =
29°; c = 20

Find an angle γ in degrees in the triangle for which α = 30
degrees, b = 44 inches, and a = 22 inches. There is(are) exactly
_____ such triangles. In this case γ = _______degrees is a possible
angle.

Solve for the remaining side(s) and angle(s) if possible. (Round
your answers to two decimal places. If not possible, enter
IMPOSSIBLE.)
α = 3°, a = 63, b = 100
smaller β β
=
°
γ
=
°
c
=
larger β β
=
°
γ
=
°
c
=

Solve the following SSA triangle. Indicate whether the given
measurements result in no triangle, one triangle, or two
triangles. Solve each resulting triangle. Round each answer to the
nearest tenth. Equals 92 degrees°, a equals 16, b equals 23

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.
Round lengths to the nearest tenth and angle measures to the
nearest degree. B =14o, b = 15.9, a= 21.91

Solve ΔABC. (Round your answer for b to one
decimal place. Round your answers for α and γ to
the nearest 10 minutes. If there is no solution, enter NO
SOLUTION.)
β =
72°10', c =
14.2, a = 86.6
b
=
α
=
° '
γ
=
° '

Use the Law of Cosines to find the remaining side and angles if
possible. (Round your answers to two decimal places. If an answer
does not exist, enter DNE.)
a = 8, b = 12, γ = 67.7°
c
=
α
=
°
β
=
°

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