Pythagorean Theorem
Special Right Triangles
45-45-90 Triangles
30-60-90 Triangles
Simplifying Radicals
Olympic Trivia
100
The type of triangle needed to use the Pythagorean Theorem.
What is a right triangle?
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 AC of the triangle below.
What is
3sqrt2
100
Find the missing side length.
What is
sqrt3
100
Simplify
sqrt45
What is
3sqrt5
100
How many colors make up the Olympic rings?
5
200
Find the length of the missing side in the right triangle shown. Leave answer in simplest radical form.
What is
6sqrt6
200
The side lengths of a 30, 60, 90 could be
____: _____: _____.
a. 2:2sqrt3:4
b. 5:sqrt3:10
c. 3:3sqrt3:5
d. 4:4:4sqrt2
What is a:
2:2sqrt3:4
200
Given a 45-45-90 triangle, find the length of the leg ifif the hypotenuse is
5sqrt2
What is 5?
200
Find the length of the side IR.
What is 7?
200
Simplify
sqrt32
What is
4sqrt2
200
Which country is hosting the 2026 Winter Olympics?
Italy
300
Find the length of the missing side in the right triangle shown below. Leave your answer in simplest radical form.
What is
sqrt19
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 values of x and y.
What is x= 12 and
y=6sqrt3
300
Simplify
5sqrt2*4sqrt6
What is
40sqrt3
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
Find the length of the missing side. Leave your answer in simplest radical form.
What is
10sqrt2
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 leg is
7sqrt2
The hypotenuse = 14
400
In a 30, 60, 90 degree triangle, the long leg = 12 cm. Find the length of the short leg and hypotenuse
The short leg =
4sqrt3
hyp=8sqrt3
400
Simplify:
8/sqrt2
What is
4sqrt2
400
This movie was inspire by the 1980 Winter Games hockey game between the U.S. and Soviet Union.
Miracle!
500
Find the length of the missing side. Leave your answer in simplest radical form.
What is
6sqrt2
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 10.
What is
5sqrt2
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
Simplify:
(3sqrt15)/sqrt3
What is
3sqrt5
500
This female alpine skier won gold in the 2026 winter Olympics. It ain't EASY following up Lindsay Vonn!
Breezy Johnson