Formulas / Theorems

Question 1

What is Stewart’s Formula? What is m and n?

Answer 1

dad + man = bmb + cnc
m and n are parts of a split by cevian d

Question 2

Finding something with AAS

Answer 2

a / sin A = b / sin B = c / sin C = 2 * r = abc/4r
A = angle
a = side

Question 3

Triangle Area with SAS

Answer 3

1/2 ab sinC

Question 4

Triangle Area with 3 sides

Answer 4

√s(s-a)(s-b)(s-c)
Where s = (a + b + c)/2

Question 5

Finding something when given SAS

Answer 5

c^2 = a^2 + b^2 - 2absin(c)

Question 6

Finding the ambiguity of SSA

Answer 6

sin(B) = b * sin(A) / a

Question 7

Angles given SSS

Answer 7

a^2 = b^2 + c^2 - 2bc cos(A)
b^2 = a^2 + c^2 - 2ac cos(B)
c^2 = a^2 + b^2 - 2ab cos(C)

Question 8

Power Reduction Theorems

Answer 8

sin^2 = (1 - cos(2x)) / 2
cos^2 = (1 + cos(2x)) / 2
tan^2 = (1 - cos(2x)) / (1 + cos(2x))