Pythagorean Theorem
3-D Distance
Special Right Triangles
Trigonometry
Miscellaneous
100
I am a right triangle with one leg measuring 5 inches and my hypotenuse measuring 13 inches; this is the length of my other leg.
What is 12?
100
If a standard coordinate plane uses x and y axes, a 3 dimensional coordinate plane adds this axis which is perpendicular to the x-y plane.
What is the z - axis?
100
The length of the diagonal of a single square on a piece of graph paper where each length is one unit long.
What is square root of 2 units?
100
The trigonometric ratio involving the opposite and adjacent sides.
What is tangent?
100
The theorem that explains that IF a^2 + b^2 = c^2 THEN the triangle must be a right triangle.
What is the Pythagorean Theorem Converse.
200
The name for a family of whole numbers that represent the side lengths of right triangles.
What are Pythagorean Triples?
200
You got a birthday present in a box that measures 1 foot in length, width, and height. This number is the longest item that could possibly fit in the box.
What is the square root of 3?
200
The height of an equilateral triangle with a side length of 10 meters.
What is 5 square root 3 meters?
200
The sine of one angle is equal to this ratio of its complementary angle.
What is cosine?
200
The triangle center that represents the center of gravity of a triangle.
What is the centroid?
300
The classification of a triangle whose side lengths are 21, 72, and 75.
What is a right triangle?
300
This kind of prism can be imagined between any two points in space.
What is a rectangular prism?
300
The area of a square whose diagonal is 10 inches.
What is 50 meters squared?
300
All angles below this value have a tangent of less than 1.
What is 45 degrees?
300
DAILY DOUBLE (See the Board) Section 8.3, Question 38.
What is 1.5?
400
The angle based classification of a triangle whose side lengths are 7, 14, and 16.
What is an obtuse triangle?
400
This is the distance between (0, 0, 0) and (3, 4, 12).
What is 13?
400
The area of a 30-60-90 triangle whose longer leg is 6.
What is 6 square root 3?
400
The adjacent side length of a 52 degree angle if its hypotenuse is 13 centimeters?
What is 8?
400
The angle based classification of the triangle with vertices (-7,-3), (-2,-5), and (-4,-1).
What is acute?
500
The sides of a triangle have lengths 2x (the longest side), 8, and 12. This is the range of values of x that will make the triangle acute.
What is < 2*square root(13)
500
If one corner of a truck is 5 feet in the x direction from the corner of the garage, 6 feet in the y direction from the corner of the garage, and 7 feet above the ground (z direction) while its opposite corner is 14 feet from the corner of the garage in the x direction, 42 feet in the y direction, and is 19 feet above the ground, what is the largest item that can fit in the truck?
What is 39 feet?
500
The sine of 60 degrees in fraction form.
What is the square root of 3 divided by 2.
500
The opposite side of this angle is 8 while its adjacent side 8 square root 3.
What is 30 degrees?
500
Angle A in a Right Triangle SAM with vertices S(-2,-3), A(-7,-3), and M(-2,4). Hint: use Distance Formula and then an Inverse Trig Ratio.
What is 54.5 degrees?
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