Pythagorean Theorem
Geometric Mean
Special Right Triangles
Trig
Laws of sines and cosines
100

When using Pythagoras Theorem, the Hypotenuse is labeled with what letter?

c

100

Find x: 

x = 16

100

In a 45, 45, 90 right triangle, what operation must you do to go from the hypotenuse to the leg?

divide by sqrt2

100

Find Angle A.

angle A= 43.34

100

What information would you have to know in order to be able to solve for side a using Law of Cosines? 

side c, angle A, side b

200

When using Pythagoras Theorem, what is the formula?

a^2+b^2=c^2

200

Find CD:

CD ~ 5.2

200

The length of the shorter leg of a 30°-60°-90° triangle is 3. What is the length of the hypotenuse?

200

Find side b.

b=3.7

200

Using laws of cosines, solve for b:

60.5

300

Calculate the length of the hypotenuse:

 

26

300

Find CD:

CD ~ 9.2

300

The length of the longer leg of a 30°-60°-90° triangle

sqrt(108)

is. What is the length of the shorter leg?

6

300

Find x. Round to the nearest hundredths.

x=7.73

300

If B = 140, C = 450, and b = 5.2, find c to the nearest tenth using the Law of Sines.

15.2 units

400

Calculate x:

19.24

400

Find x (write as a decimal):

x = 17.3

400

The length of one leg of a 45°-45°-90° triangle is

sqrt(3

. What is the length of the hypotenuse?

sqrt 6

400

What does the word trigonometry mean in Greek?

Trigonometry comes from the Greek words for triangle and measure

400

Using laws of cosines, find side a:

20.87

500

Calculate the length of the Hypotenuse:

7.62

500

Find CA: 

CA = 6

500

The long leg of a 30-60-90 triangle is 10. What are the lengths of the short leg and the hypotenuse?

Short leg:

(10 sqrt3)/3

 Hypotenuse: 

(20sqrt3)/3

500


To solve for K: SOHCAHTOA, Law of Sines, or Law of Cosines? 

cosine

500

If A = 500, b = 10, and a = 14, find C to the nearest degree using the Law of Sines.

97 deg

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