Solving triangles; mixed problems
Answers are for parents and teachers.
1
β = 90°, α = 30°, a = 8. Find c.
8√3
2
a = 7, b = 5, γ = 120°. What is c²?
109
3
A parallelogram has sides 4 and 9 and one diagonal 7. What is the square of the other diagonal?
145
4
In a triangle with sides 10, 10, 12 what is the height to the base?
8
5
Why must at least one side be given when solving a triangle?
With angles alone there are infinitely many similar triangles, so the size is not determined.