Question

Find the slope of each side of the triangle and use the slopes to find the measures of the interior angles. (Round angle measures to one decimal place.)

A (-4,6) B- (3,4) C- (1,2)

Find the Slope of AB, AC, BC and Degree of A,B,C

Answer #1

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The triangle ABC,
which is not drawn to scale, represents a roof space with a span of
12 m. The roof slopes at an angle X on one side and an angle Y on
the other, producing an angle Z at the apex.
If X = 49o
and Y = 33o, calculate the lengths of the sides of the
roof, AC and BC. Give your answers in m, to 2 decimal places.
AC length:
BC length:

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.

ABC is a right-angled triangle with right angle at A, and AB
> AC. Let D be the midpoint of the side BC, and let L be the
bisector of the right angle at A. Draw a perpendicular line to BC
at D, which meets the line L at point E. Prove that
(a) AD=DE; and
(b) ∠DAE=1/2(∠C−∠B)
Hint: Draw a line from A perpendicular to BC, which meets BC in
the point F

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, angle A measures 33 degrees. If angle C
measures 38 degrees and BC has length 12, find AB.
a) 12sin38/sin33
b)12sin(38/33)
c)6
d)12sin33/sin38
e)6sqrt3

Use vectors to find the interior angles of the triangle given
the following sets of vertices. Round your answer, in degrees, to
two decimal places.
(−7,−4)(−7,−4), (−5,7)(−5,7), (3,2)

Find the reference angle, the quadrant of the terminal side, and
the sine and cosine of each angle. If the angle is not one of the
angles on the unit circle, use a calc. to round to three decimal
places.
a) 300 degrees
b) 7pi/6
c) 7pi/4

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,...

Find, correct to the nearest degree, the three angles of the
triangle with the given vertices.
A(1, 0, −1), B(4, −4,
0), C(1, 5, 5)
angle CAB = ?
angle ABC = ?
angle BCA = ?

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

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