Triangle Cases / Other Formulas Flashcards
1
Q
Law of Cosine
A
c² = a² + b² - 2ab cos
2
Q
CASE 1 (AAA) = 180°
A
Infinitely Many
3
Q
CASE 2 (SSS) = sum of lengths is less than or equal to third length
A
No solution
(Otherwise, 1 Solution)
4
Q
CASE 3 (ASA) = angles more than 180°
A
No solution
(Otherwise, 1 Solution)
5
Q
CASE 4 (SSA) = angle more than 180°
A
No solution
(Otherwise, 1 Solution)
6
Q
CASE 5 (SSA-Op) = side a > b
A
One Triangle
7
Q
CASE 5 (SSA-Op) = side a = b
A
α >= 90 : no sol
α < 90 : one
α = 60 : one
8
Q
CASE 5 (SSA-Op) = side a < b
A
α >= 90 : no sol
α < 90 : compute
h < a < b = 2 triangles
h < b < a = one triangle
