Vocabulary
30-60-90
Radical Radicals
45-45-90
Chart-Toppers
100
The side opposite the 90* angle of a triangle.
What is the Hypotenuse?
100
The x and y values in this triangle (solve)
x = 6
y = 3√3
100
Simplify!
14√2 x 2
28√2
100
The length of y in this 45-45-90 triangle
y = 8
100
In a 30-60-90 triangle, this is the formula used for the "middle" side, across from the 60* angle.
What is x√3?
200
A right triangle with some regular features that make calculations on the triangle easier, or for which simple formulas exist
What are Special Right Triangles?
200
The x and y values in this triangle (solve)
x = 3√3 /2
y = 3/2
200
Simplify!
4 x √3
4√3
200
The length of x in this 45-45-90 triangle
x = 4√2
200
Formula used in a 45-45-90 triangle to find the hypotenuse
What is x√2?
300
In this Special Right Triangle, two of its legs are congruent
What is a 45-45-90 triangle?
300
If given the long leg in this 30-60-90 triangle, this is how you find the length of the hypotenuse
Divide 8 by √3, then multiply that answer by 2
300
Simplify!
8√2 divided by √2
8
300
In a 45-45-90 triangle, you have been given a leg. This is how you find the length of the other leg.
Use the same length for the second leg
300
In a 45-45-90 triangle, x is used for both of these, called...
What are legs?
400
The name of the equation used to find the missing side of a right triangle
Pythagorean Theorem
(a2 + b2 = c2)
400
Given the long leg in this 30-60-90 triangle, this is how to find the short leg
Divide 7 by √3
400
Simplify!
10√3 divided by √2
5√6
400
In this 45-45-90 triangle, you have been given the length of a leg. You find the length of the hypotenuse by doing this
What is multiplying that leg by √2?
400
In a 30-60-90 triangle, you would use this formula when trying to find the hypotenuse
What is 2x?
500
This Special Right Triangle has a "short" side
What is a 30-60-90 triangle?
500
The length of u and v in this 30-60-90 triangle
u = 8
v = 4√3
500
Simplify!
√4 x 3√3
6√3
500
A kite's string is 280 feet long from the kite to the ground. The string makes a 45* angle with the ground. Find how high the kite is above the ground.
140√2
500
When given the side across from the 60* angle, you would have to do this to find the short side
What is divide by √3?