Show that the area of triangle ABC is given by (1/2)ab sin C = (1/2)bc sin A = (1/2)ca sin B.

Step 1 of 3</p>

In this problem we need to prove that area of the triangle ABC is

Step 2 of 3</p>

Given : are the three sides of the triangle.

Construction : Draw a perpendicular from B to AC , let h be the height of the perpendicular drawn.

From the figure the area of the triangle is given by . . . . . . . . . . . . . . (1)

We have