Suppose a triangle has side lengths 5 and 10 and the angle between the two sides is = pie/3. What is the area of the triangle?

The formula for triangle area in this case is

A = (1/2) ab·sin (θ)

where a and b are the side lengths and θ is the angle between them.

Substituting the given values, you have

A = (1/2) (5) (10) (sin (π/3))

A = (25/2) √3