8.1: Geometric Means and Similarity in Right Triangles
8.2: Pythagorean Theorem
8.3: Special Right Triangles
8.4: Trigonometry
Radical Dude
100
a/x = x/b
Label the extremes and mean
a and b are the extreme
x is the mean
100
What is the pythagorean theorem?
a2+b2=c2
100
Name this triangle.
30-60-90 triangle
100
How do I find sin of something?
opposite/hypotenuse
100
square root of 4
2
200
Find the geometric mean between 1 and 4
2
200
Label the legs and hypotenuse
Base- leg
side-leg
side across from 90 degrees- hypto.
200
What kind of triangle is this?
45-45-90 triangle
200
How do I find cosine (x) of something or tan (x)
cosine (x)= adj./ hypotenuse
tan (x)= opposite/ adjacent
200
square root of 144
12
300
Find the geometric mean between 5 and 45
15
300
Find x.
10.72
300
what are the rules of the 45-45-90 triangle? How do I find my side lengths and my hypotenuse?
Legs are the same measurement. To find the hypotenuse you take the length of one of the legs and multiply it my square root of 2.
300
Solve for the missing values.
c=8.83
b=3.73
300
square root of 20
2 square root of 5
400
Find the geometric mean between 36 and 4
12
400
14.14
400
What are the rules of 30-60-90 triangle? How do I find the long leg and the hypotenuse?
Long leg= short * square root 3
Hypotenuse= short * 2
400
Find the degree.
36.9
400
square root of 125
5 square root of 5
500
Find the geometric mean between 40 and 15
10 square root 6 or 24.5
500
11.40
500
Find the missing side lengths.
x= 4 square root of 3
y=8 square root of 3
500
Solve for x.
x= 1498.43
500
square root of 12504
2 square root of 3126