Geometric Mean
the square root of the product of two numbers.
Theorem 8.1
If an altitude line is drawn, from the hypotenuse of a right triangle, then the two triangles formed are similar, to the original triangle, and to each other.
Right Triangle Geometric mean theorem (Altitude)
The height of the altitude drawn form the hypotenuse of a right triangle separates the hypotenuse into two segments. The altitude is equal to the geometric mean of the two segments of the hypotenuse.
Right Triangle Geometric mean theorem (leg)
The altitude line that is drawn from the hypotenuse of a right triangle, divides the hypotenuse into two segments. The measure of a leg of the triangle would be the geometric mean, of the length of the hypotenuse and the segment of the hypotenuse adjacent to the leg
Pythagorean Theorem
the square of leg A plus the square of leg B si equal to the squared hypotenuse
45, 45, 90 triangle Theorem
The length of the hypotenuse is equal to the square root of 2 times the leg
30, 60, 90 Theorem
The length of the hypotenuse of a 30, 60, 90 triangle is equal to the measure of the shortest leg times 2. The length of the longest leg is equal to the square root of 3 times the shortest leg.
Sine or Sin
It would be the opposite leg of the angle, divided by the hypotenuse
Tangent or Tan
The Opposite side of the angle divided by the adjacent side
Cosine Cos
It would be the Adjacent Leg divided by the hypotenuse
