8.7-8.8 Flashcards
geometric mean
If a, b, and x are positive numbers, and a/x = x/b, then x is the geometric mean between a and b. The GMAIL is always the positive root.
Similar Right Triangle Theorem
If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed r similar to each other & the original triangle.
Geometric Mean Theorem
If the altitude is drawn to the hypotenuse of a right triangle, then the measure of the altitude is the geometric mean between the measures of the parts of the hypotenuse.
30-60-90
Opp 30 - x
Hypotenuse - 2x
Opp 60 - x[3
45-45-90
Opp 45’s - x
Hypotenuse - x[2
Trigonometry
SOH-CAH-TOA
Sin, cos, and tan of 30
1/2, [3/2, [3/3 or 1/[3
Sin, cos, and tan of 60
[3/2, 1/2, [3
Sin, cos, and tan of 45
[2/2 or 1/[2, [2/2 or 1/[2, 1
Pythagorean Theorem
a2 + b2 = c2