Pythagorean Theorem
Similar Triangles
SOH CAH TOA
Law of Sines
Law of Cosines
100
This formula is the Pythagorean Theorem
What is a2 + b2 = c2 ?
100
This is the length of the hypotenuse of the larger triangle pictured above:
What is 10
100
The cosine of an angle is equal to the angle's adjacent side length divided by this other side of the triangle.
What is the Hypotenuse.
100
sin(A)/a=sin(B)/b=sin(C)/?
Which side is represented by the ?
What is side C
100
This law is represented by the following formula:
c^2=a^2+b^2-2ab*cos(C)
What is the Law of Cosines
200
This is the type of triangle that you can use with the Pythagorean Theorem.
What is a right triangle?
200
This is the height of a tree that is 60 feet in front of you. You are 6 feet tall and cast a 5 foot shadow:
What is 72
200
The sine of 54 degrees is equal to what ratio?
What is
7/10
200
Using Law of Sines, this is the value of x
sin(80)/7=x/5.4
What is 50 degrees
200
Using the Law of Cosines, this is the value of angle C
(8.4)^2=6^2+9^2+2*6*9*cos(C)
What is 65 degrees
300
This is the special name given to the side of a right triangle across from the right angle.
What is the hypotenuse?
300
This is the height of a tree that casts a 75 foot shadow when you, being 6 feet tall, also cast a 5 foot shadow:
What is 90 feet.
300
The cosine of what angle is equal to 3/5 ?
What is angle B
300
Solve for x (nearest tenth)
What is 5.4
300
Solve for side C (nearest tenth)
What is 8.4
400
This is the length of the hypotenuse of a right triangle if the legs of the triangle are 3 units and 4 units in length.
What is 5 units?
400
This is the length of side x.
What is 10.75 feet
400
Solve for side x (nearest tenth)
What is 11.9
400
Solve for x (nearest whole number)
What is 132
400
Solve for side a (nearest whole number)
What is 255
500
This is the length of the missing leg of a right triangle if the hypotenuse is 12 units long and the other leg is 8 units (rounded to the nearest tenth).
What is 8.9 units?
500
This is the value of x in the picture above:
What is 5.2 ft
500
Solve for x (nearest tenth)
What is 2.7?
500
Solve for h (nearest whole number)
What is 342
500
Solve for diagonal line AC
What is 47