9.1-9.6 Flashcards

Trigonometry

1
Q

What do you use to find the hypotenuse of a 45-45-90 triangle?

A

Multiply by square root of 2

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2
Q

What do you use to find the leg of a 45-45-90 triangle?

A

Divide by square root of 2

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3
Q

Short leg to long leg? (30-60-90)

A

Multiply by square root of 3

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4
Q

Long leg to short leg? (30-60-90)

A

Divide by square root of 3

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5
Q

Short leg to hypotenuse? (30-60-90)

A

Multiply by 2

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6
Q

Hypotenuse to short leg? (30-60-90)

A

Divide by 2

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7
Q

Area of a triangle

A

A=1/2bh

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8
Q

Pythagorean triples

A

3,4,5
5,12,13
8,15,17
7,24,25

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9
Q

How do you decide what triangle it is?

A

If x^2 + y^2 > z^2 its acute
If x^2 + y^2 < z^2 its obtuse
If x^2 + y^2 = z^2 it’s a right triangle

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10
Q

How do you prove it’s a triangle?

A

If x + y > z

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11
Q

How do you find a value in a triangle (ex: x)

A

Long/ hyp
Short/ hyp
Short/ long

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12
Q

How do you find the geometric mean of two numbers?

A

y/x = x/z

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13
Q

How do you find the altitude of a triangle?

A

Multiply the two base numbers and square root them

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14
Q

What is the shortcut for sin, tan, cos?

A

SOH-CAH-TOA

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