SME
Grade 10 Math
The law of sines and the law of cosines
The main lesson, then each kind of problem it solves.
The law of sines and the law of cosines
Main lesson
Two sides and the angle between them
Use this for “b = 7, c = 10 and A = 50°. Find a.”
Three sides: find an angle
Use this for “The sides are 5, 7 and 9. Find the largest angle.”
The ambiguous case (SSA)
Use this for “A = 30°, a = 6 and b = 10. How many triangles fit, and what is B?”
Area from two sides and the angle between them
Use this for “Two sides of a triangle are 8 and 11 with a 40° angle between them. Find its area.”