Question

If sides A and B of a triangle have lengths of 1 and 6 respectively, and the angle between them is `(pi)/2`, then what is the area of the triangle?

Answer 1

3 square units.

Explanation:

The area of a triangle is half the product of any two sides times the sine of the angle between them. The angle between the two given sides is `\pi/2` radians which is a right angle, so its sine is 1. Therefore:

Area = (1/2)(1)(6)(1) = 3.