9.1 The Pythagorean Theorem
9.2 Special Right Triangles
9.4/9.5 The Sine/Cosine/Tangent Ratios
Word Problems
9.6 Solving Right Triangles
100
What is the pythagorean theorem?
a^2+b^2=c^2
100
What are the two special right triangles?
30^\circ - 60^\circ- 90^\circ
and
45^\circ - 45^\circ - 90^\circ
100
What helps you remember your three ratios of side lengths in a right triangle?
SOHCAHTOA
100
Determine which of the two acute angles has the given cosine ratio:
3/5
.
\angle C
100
What do you use to find an acute angle in a right triangle given only side lengths?
An inverse function!
200
What are a, b, and c in the pythagorean theorem?
the sides in a right triangle - a and b are the legs and c is the hypotenuse
200
What is true about the lengths of the two legs in a
45^\circ-45^\circ-90^\circ
Their measures are equal!
200
Describe what sine, cosine, and tangent are.
These are all three ratios of side lengths in a triangle given a reference angle.
sin\theta = O / H
COS\theta = A / H
tan\theta = O / A
200
You are skiing on a mountain. Find the distance x from you to the base
of the mountain.
3,349 ft
200
Given:
cos Q = 0.32
Find
m\angle Q
71.3^\circ
300
Find x. 
x=29
300
Find x.
x=7
300
Find
cosN
3/5
300
Find the tangent of the smaller acute angle in a right triangle with side lengths 8, 15, and 17.
8/15
300
Find BC to the nearest tenth.
BC = 11.2
400
Determine whether the segment lengths (6, 8, and 9) form a triangle and if so, classify it by its angles.
yes; acute
400
Find x. 
x=16\sqrt3
400
Find s rounded to the nearest tenth.
x=31.3
400
Find the height of the roller
coaster. 
309.7 ft
400
Find
m\angle B
41.8^\circ
500
Find x and simplify. 
x=2\sqrt30
500
Find x and y. 
x=16
y=16\sqrt2
500
Find x rounded to the nearest tenth.
x = 12.8
500
You look up at a drone at an angle of elevation of 23°. Your eyes are 5 feet above the ground, and the distance to the drone is 210 feet. What is the altitude of the drone?
87.1 ft
500
Describe how you could go about "solving the right triangle" below.
Answers may vary. *One option: Use pythagorean theorem to find the third side... Use inverse cosine to find the measure of angle Z... subtract this and the measure of angle Y from 180 to find the measure of angle X