Given a triangle PQR with sides p ,q and r and opposite angles c , b and a respectively . Show that the area of PQR , A is given by
A= ( p^2 sin b sin a ) /2 sin ( b+a )
Hello, mathaddict!
Your labels are confusing . . . I'll revise them.
I will assume that we know: . .[1]Given a triangle with opposite sides respectively,
show that the area of is given by: .
. . (the area is one-half the product of two sides and the sine of the included angle)
Multiply [1] by .[2]
From the Law of Sines: .
Substitute into [2]: . .[3]
Since , then: .
. . and: .
Substitute into [3]: . ta-DAA!