Laws of Sine and Cosine Formulas Flashcards
1
Q
Law of sine for any oblique triangle
A
a/(sinA) = b/(sinB) = c/(sinC)
2
Q
How many triangles could there be if you are given SAA?
A
1
3
Q
How many triangles could there be if you are given ASA?
A
1
4
Q
How many triangles could there be if you are given SSA?
A
0, 1, or 2
5
Q
Area of an oblique triangle
A
For angle A: Area = (1/2)(b)(c)(sinA) For angle B: Area = (1/2)(c)(a)(sinB) For angle C: Area = (1/2)(b)(a)(sinC)
6
Q
Laws of Cosine
A
For angle A: a² = b² + c² - 2bc(cosA) For angle B: b² = a² + c² - 2ac(cosB) For angle C: c² = b² + a² - 2ba(cosC)
7
Q
The area of a triangle with sides a, b, and c is…
A
Area = √s(s - a)(s - b)(s - c)
8
Q
s = ?
A
s = (a + b + c)/2
