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Level 469

Oblique Triangles


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Oblique Triangle
A triangle that contains no right angle.
Ambiguous
word that has more than one definition
Law of Sines
In any triangle, (sin α)/a = (sin β)/b = (sin γ)/c
Law of Cosines
a² = b² + c² − 2bc cos α
Inverse Trigonometric Function
Used to find a missing angle measure.
ASA
Angle-Side-Angle
SSA
Side-Side-Angle
SSS
Side-Side-Side
SAS
Side-Angle-Side
AAA
Angle-Angle-Angle
Heron's Formula
Equation used to find the area of oblique triangles when you know all the side measures.
Oblique triangles
Triangles that do not have a right angle
Area of a triangle
A = ½ bh (or) A = bh÷2
law of cosines (all 3)
c² = a² + b² - 2abcosC
Law of Sines
sin A over a = sin B over b = sin C over c
a/sinA=b/sinB=c/sinC
Law of Sines
K=1/2 bcsinA
Area (K) 1
1/2acsinB
Area (K) 2
1/2 absinC
Area (K) 3
Law of cosine
A^2= b^2 +c^2-2bccosA
B^2=a ^2+c^2-2accosB
Law of Cosine 2
C^2=a^2+b^2-2abcosC
Law of cosine 3
Semi-perimeter
1/2(a+b+c)
area
the surface; Length x Width
Angle, side, side
Law of sines is used with
Law of cosines is used with...
Side angle side, angle angle side
2 triangles
If the first angle you find is larger than the given,
1 triangle
If first angle found less than given