Pythagorean Theorem
Triangle Inequality
Trigonometry
Missing Sides
Missing Angles
Applications
100
What is the formula?
a2 + b2 = c2
100
What is the formula
a + b > c
100
What type of triangle do we use trigonometry?
Right Triangles
100
What mode should your calculator be in?
Degree Mode
100
How do you find a missing angle?
Inverse Trig , sin-1 , cos-1 , tan-1
100
Given a 12 foot long ladder rests 6 feet above the ground on a building. What is the angle of elevation?
30 degrees
200
What do a/b represent?
legs/ shorter sides
200
What is the formula used for?
To determine if the sides lengths create a triangle
200
What angle do you never "read" from?
Right angle, 90 degree angle
200
Solve for x
11.4
200
Find the value of x
38.5 degrees
200
Given the treasure map to the right, determine the shorted distance to walk to get to the x. If you cannot read the directions on the map, they are 2W, 4S ,3E , 3S
7.07
300
What is the length of the missing side?
5.38
300
Do the side lengths satisfy the triangle inequality?
Sides: 6 , 17 , 5
No, 6 + 5 < 17
300
What is the cosine of angle x
cos = 60 / 68
300
Solve for x
49.2
300
Find the value of x
54.5 degrees
300
Given a 7 foot long ladder rests 4.5 feet above the ground on a building. What is the angle of depression?
40 degrees
400
What is the length of the missing side?
10.28
400
Do the side lengths satisfy the triangle inequality?
Sides: 14 , 9 , 7
Yes, 9 + 7 > 14
400
What is the tangent of angle y
tan = 60 / 32
400
What is the side length of QS and QR?
QR = 4.06
QR = 7.08
400
Find the measure of ∠S and ∠U?
∠S = 31 degrees
∠U = 59 degrees
400
Given the treasure map to the right, determine the shorted distance to walk to get to the x. If you cannot read the directions on the map, they are 2N, 3W, 3N, 2W, and 3N.
9.43
500
What is the length of the missing side?
33.6
500
Do the side lengths satisfy the triangle inequality?
Sides: 9 , 20 , 11
No, 9 + 11 = 20
500
What is the sine of C
sin = 6 / 6.32
500
Find KL
5.3
500
Find angle CDB
68.7 degrees
500
Given a 14.8 foot long ladder rests 10 feet above the ground on a building. What the angle between the wall and the top of the ladder?
47.5 degrees