Pythagorean Theorem
30-60-90 and 45-45-90
Law of Sines and Cosines
Trig/ Which would you use?
100
In a right triangle with legs of 9 and 12 detrmine the length of the hypotenuse (round to 2 decimal places if necessary)
What is 15
100
In a 30-60-90 right triangle the length of the hypotenuse is equal to
What is twice the short leg
100
what is the equation for sine?
100
To solve for K: SOHCAHTOA, Law of Sines, or Law of Cosines?
cosine
(SOH CAH TOA)
200
In a right triangle with a leg of 6 and hypotenuse 8, determine the length of the other leg (round to two decimal places if necessary)
What is 5.29
200
The short leg is equal to 5, determine the lengths of the other sides.
What is the hypotenuse is 10 and the long leg is 5 sqrt3
200
What is one of the three equations for cosines?
cos(C) = a2 + b2 − c2 2ab.
cos(A) = b2 + c2 − a2 2bc.
cos(B) = c2 + a2 − b2 2ca.
200
To solve for e: SOHCAHTOA, Law of Sines, or Law of Cosines?
Law of Sines
300
Is a triangle with sides of 6, 9 and 13 a right triangle?
What is NO
300
The triangle has a leg of 8, what is the length is the hypotenuse?
What is 8 sqrt 2
300
What are two cases/scenarios where you would be able to use the Laws of Sines?
2 angles and any side or 2 sides and an opposite angle
300
To solve for c: SOHCAHTOA, Law of Sines, or Law of Cosines?
Law of Cosines
400
What is the length of the diagonal of a rectangle with sides of 15 and 20? (Round to the nearest hundredth if necessary)
What is 25
400
A square has a side length of 16, what is the length of the diagonal?
What is 16 sqrt 2
400
What are two cases/scenarios where you would be able to use the Laws of Cosines?
3 sides or 2 sides and an included angle
500
A right triangle has an area of 24 square inches and one leg is 16 inches, what is the length of the other leg?
What is 3 inches
500
The length of the long leg is 9, determine the lengths of the other sides.
What is the short leg is 3 sqrt 3 (or 9/sqrt 3) and the hypotenuse is 6 sqrt 3 (or 18/sqrt 3)
500
Using laws of cosines, solve for b:
60.5