9.1 - The Pythagorean Theorem
9.2 - Special Right Triangles
9.4/9.5 - SOH CAH TOA
9.6 - Solving Right Triangles
9.7 - Law of Sines and Law of Cosines
100
What is the formula for the Pythagorean Theorem?
a^2+b^2=c^2
100
How do you solve for the hypotenuse in a 30/60/90 right triangle?
shorter leg times two
100
What is the ratio of cosine? Write out the words, I will not accept just letters.
adjacent / hypotenuse
100
What special "i" word do we need in order to find an angle with two given sides?
INVERSE
100
Write one variation of one of the formulas for Law of Cosines
a^2=b^2+c^2-2bc*cos(A)
b^2=a^2+c^2-2ac*cos(B)
c^2=a^2+b^2-2ab*cos(C)
200
What is c when a=3 and b=4
c=5
200
What is the value of the shorter leg in a 30/60/90 triangle when the hypotenuse is 18
9
200
Which trig function would I need to use to solve for
theta
tangent
200
Solve for x. Round to the nearest tenth.
x=36.9
200
What do I need in order to solve the Law of Sines?
An opposite side/angle pair
300
What is the other leg when a=8 and c=17?
b=15
300
In a 45/45/90 triangle, what is the value of one leg when the hypotenuse is
13sqrt2
13
300
Solve for x. Round to the nearest tenth.
x=12.7
300
Solve for angle A and round to the nearest tenth.
A=55.3
300
Set up your Law of Sines to solve for b but do NOT solve it
sin(63)/22=sin(75)/b
400
What's the hypotenuse when one leg is 6 and the other leg is 7?
sqrt85
400
What is the value of the other leg and hypotenuse in the following picture?
leg = 8
hypotenuse =
8sqrt2
400
Solve for x and round to the nearest tenth.
x=8.4
400
Rounding to the nearest tenth, solve for
theta
theta=41.4
400
Using the Law of Cosines, set up to solve for a; do NOT solve it. Be careful, I'm not looking for a2
a=sqrt(15^2+12^2-2(15)(12)*cos(105))
500
What is the other leg when a=7 and c=14? Express your answer as a radical
7sqrt3
500
Solve for c and d
c=3sqrt3
d=6sqrt3
500
Solve for a and the other missing leg. Round all to the nearest tenth.
a=25.2
x=27.1
500
Round to the nearest tenth. Solve for x
x=66.6
500
Solve for
angleA
using the Law of Cosines. Round to the nearest tenth.
angleA=116.8