Parallel Lines
Triangles and Polygons
Sine Law
Cosine Law
Ambiguous
Ms. Taylor Lore
100
How are co-interior angles related to each other?
They are supplementary (adds up to 180)
100
All of the angles in a triangle add up to this value.
180
100
Is it true that in the formula a/sinA = b/sinB = c/sinC (sine law), B is the angle opposite of side a?
No, B is the angle opposite of side b while A is the angle opposite of side a.
100
Solve for C to the nearest degree
C = 41 degrees
100
True or False: The ambiguous case could appear in a question with a right-angle triangle.
False. It only appears when there could be an obtuse triangle.
100
What town does she live in?
Rocanville.
200
2 and 7, and 1 and 8, would be known as this type of angle-pair.
Alternate exterior.
200
The top and bottom lines are parallel to each other. Determine the missing angles.
200
Find the obtuse angle to the nearest degree:
154 degrees
200
Find all the missing sides and angles.
A= 80 b=6 c=10
a= 10.7
B= 33.4 degrees
C= 66.6 degrees
200
How many triangles are possible given the following:
∠A = 40˚, a = 22mm, and b = 27mm.
2 triangles
200
How many siblings does she have?
2
300
If angle 4 is 120 degrees, then angle 7 would be:
60 degrees.
300
Determine angles a, b, and c
a = 78
b = 69
c = 33
300
A cottage under construction is to be 12.6 m wide. The two sides of the roof are to be supported by rafters that meet at an angle of 50 degrees. How long should the rafters be if they are the same length?
Therefore the rafters should be 14.9 m in length.
300
Kobe wants to swim laps around her local pool for excersise. She only knows two out of the three sides of the pool. If side a to side b is 50 feet and side b to side c is 60 feet, and angle ABC in the pool is 55 degrees, find the length of side c to side a.
Side c= 51.6 feet
300
How many triangles can be formed given: a=6, b=10, and A=42˚
No triangles can be formed
300
How many years has she been a teacher?
6
400
126 degrees.
400
Determine the measure of the indicated angles:
x = 40
z = 140
400
Triangle PQR has ∠P = 63.5° and ∠Q = 51.2° and r = 6.3 cm. What are the side lengths of p and q?
p = 6.21cm
q = 5.40 cm
400
Raleigh, Chapel Hill, and Durham are located in whats known as the triangle. If Raleigh is 21 miles from Chapel Hill and Chapel Hill is 37 miles from Durham and Durham is 30 miles from Raleigh, find all interior angles for the triangle.
A= 35 degrees
B= 91 degrees
C= 54 degrees
400
Solve △ABC, where ∠A = 40˚, a = 22mm, and b = 27mm.
Case 1 ∠B1 = 52˚ ∠C = 88˚ c = 34.2mm
Case 2 ∠B1 = 128˚ ∠C = 12˚ c = 7.1mm
400
Where did she grow up?
Kenaston, SK
500
Solve for angle c, d, f, g, and h, AND solve for y.
c=145
d=35
f=145
g=145
h=35
y=4
500
Determine the measure of angle FBD.
60 degrees
500
A wall that is 1.4 m long has started to lean and now makes an angle of 80 degrees with the ground. A 2 meter board is jammed between the top of the wall and the ground to prop up the wall. What angle does the board make with the ground?
The board makes a 44º angle with the ground.
500
Two ships leave the harbour at the same time. One ship travels on a bearing of S12°W at 14 miles per hour. The other ship travels on a bearing of N75°E at 10 miles per hour. How far apart will the ships be after three hours? Round to the nearest tenth of a mile.
The ships are 61.7 miles apart after 3 hours.
500
If c=10.3, a=7.4, and ∠A = 34 degrees, find ∠C to the nearest degree.
C= 51 degrees
C' = 129 degrees
500
Where did she go to university?
University of Saskatchewan, Saskatoon.