5.5/5.6 (Nonright Triangles) Flashcards

1
Q

What is the law of sines?

A

(a/sin A)=(b/sinB)=(c/sin C)

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2
Q

What is the law of cosines?

A

c^2=a^2+b^2-2ab sinC, where C is the largest angle

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3
Q

How do you find the area of a triangle given ASS? How many answers are there?

A

(1/2)ab sinC; 2 (even though the calculator will only give one)

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4
Q

How do you find area of a triangle given three sides?

A

Herons; s=(a+b+c)/2, k=/sqrt[s(s-a)(s-b)(s-c)]

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5
Q

What is the derivation of the Law of Sines?

A

Drawing an amplitude and equating sin of two angles.

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6
Q

What is the derivation for the Law of Cosines?

A

applying the distance formula from (a,0) to (x,y) but replacing the latter with (cCosB,cSinB)

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7
Q

How should you check the answer at the end of a Law of Sines question with two answers?

A

If two of the known angles add up to less than 180 degrees

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