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precalc laws

QuestionAnswer
situations for law of sines AAS and ASA
law of sines a/sinA = b/sinB = c/sinC
ambiguous case situations and steps SSA, draw altitude and find h
formula to find h h = bsinA
if angle A is acute a=h, a<h, a>h and a>-b, a>h and a<b
a=h one right triangle
a<h no triangles
a>h and a>-b one triangle
a>h and a<b two triangles
if angle A is obtuse a<b, a>b
a<b no triangles
a>b one triangle
situations for law of cosines SSS and SAS
law of cosines to find a missing side a2 = b2 +c2 -2bcCosA
law of cosines to find a missing angle cosA = b2 + c2 - a2/ 2bc
area of a triangle SAS A = (1/2)absincC
area of a triangle SSS A = {s (s-a)(s-b)(s-c)
semi- perimeter s = a + b + c /2
Created by: ewhite233
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