Question

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.

Answer #1

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°

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,...

Consider the right triangle shown below. If the hypotenuse c =
6.1 cm and angle α = 29°, find the short sides of the triangle and
the angle β (in degrees).
a = cm.
b = cm.
β = deg.
For a similar triangle (but with different parameters), if a =
2.5 cm and b = 3.8 cm, find the hypotenuse c and angle α (in
degrees).
c = cm.
α = deg.

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

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=

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

In triangle ABC, side a across from Angle A is 10.6 inches, side
c across from angle C is 15.7 inches and angle B=58.7 degrees. Find
the missing parts of the triangle

The measure of the first angle of a triangle is 35
degrees, more than the measure of the second angle. Four times the
measure of the second angle is 65 degrees more than the measure of
the third angle. Find the measure of each angle of the
triangle.

1. In a triangle, β = 106°, b = 20, a = 25. Find the angle
α.
2. If v = 5i - j and w = 2i - j, find ||v+w|| .
3.In the given triangle, find the side b. β = 35°, c= 10, a =
4

Triangle ABC is a right angle triangle in which
∠B = 90 degree, AB = 5 units , BC = 12 units. CD
and AE are the angle bisectors of ∠C and ∠A
respectively which intersects each other at point I. Find the area
of the triangle DIE.

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