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 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

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