Trig & Triples
Quadratics FUN
Special Right Triangles
45-45-90 Triangles
30-60-90 Triangles
Olympic Trivia
100
What is the ratio for Sine of a right triangle angle?
Opposite/hypotenuse
100
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
100
Which special right triangle is formed by drawing the diagonal of a square?
45-45-90 or 30-60-90 ?
a 45-45-90 triangle
100
Find the length of the side AB of the triangle below.
side AB is 3
100
Find the missing side length.
√3
100
How many colors make up the Olympic rings?
5
200
What is the trig ratio for the Cosine of an angle of a right triangle?
Adjacent / hypotenuse
200
What is the quadratic formula?
x = [-b +- sqrt(b2 - 4ac) ]/(2a)
200
The side lengths of a 30, 60, 90 could be
____: _____: _____.
a. 2: 2square root 3: 4
b. 5: square root 3 : 10
c. 3: 3square root 3 : 5
d. 4 : 4: 4 square root 2
a. 2: 2square root 3 : 4
200
Given a 45-45-90 triangle, if the hypotenuse is
3 sqrt 2, what are the lengths of the legs?
3
200
Find the length of the side IR.
Side IR is 7
200
Which country is hosting the 2026 Winter Olympics?
Italy
300
What is the ratio for the Tangent of an angle of a right triangle?
Opposite / Adjacent
300
f(x)=-x2-4x
(-2,4)
300
What is the classification for the 45-45-90 triangle? (based on sides and angles)
an isosceles right triangle
300
Find the length of the diagonal of the 45-45-90 triangle (legs are 8).
8√2
300
Find the hypotenuse.
x= 12?
300
This winter Olympic sport involves sliding giant circular stones across the ice toward a target (and brushing the ice along the way)?
Curling!
400
Name the #1 most popular triple mentioned in class!
3-4-5
400
Solve the following quadratic equation by completing the square: x2 + 10x +16 = 0
x = -2 x = -8
400
Which angle is opposite the short side of a 30-60-90 triangle?
the 30 degree angle
400
Find the hypotenuse of a 45-45-90 triangle if the short leg is 7.
The hypotenuse is 7sqrt2.
400
In a 30, 60, 90 degree triangle the hypotenuse is two times which leg (short or long)?
Short leg
400
This movie was inspire by the 1980 Winter Games hockey game between the U.S. and Soviet Union.
Miracle!
500
Given the sides of a right triangle are 444 and 333, what is the length of the hypotenuse?
555
500
Solve the following quadratic equation by using square roots: 4x2 = 400
x = 10 x = -10
500
In which special right triangle is the hypotenuse 2 times as long as the short side?
a 30-60-90 triangle
500
Find the value of the leg of a 45-45-90 triangle with a hypotenuse of 10sqrt2.
what is 10?
500
The hypotenuse of a 30-60-90 triangle is 10. What is the length of the LONG leg?
The long leg is 5√3
500
This female alpine skier won gold in the 2026 winter Olympics. It ain't EASY following up Lindsay Vonn!
Breezy Johnson