8.7-8.8 Flashcards

0
Q

geometric mean

A

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.

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1
Q

Similar Right Triangle Theorem

A

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.

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2
Q

Geometric Mean Theorem

A

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.

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3
Q

30-60-90

A

Opp 30 - x
Hypotenuse - 2x
Opp 60 - x[3

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4
Q

45-45-90

A

Opp 45’s - x

Hypotenuse - x[2

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5
Q

Trigonometry

A

SOH-CAH-TOA

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6
Q

Sin, cos, and tan of 30

A

1/2, [3/2, [3/3 or 1/[3

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7
Q

Sin, cos, and tan of 60

A

[3/2, 1/2, [3

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8
Q

Sin, cos, and tan of 45

A

[2/2 or 1/[2, [2/2 or 1/[2, 1

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9
Q

Pythagorean Theorem

A

a2 + b2 = c2

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