Question

A triangle has sides A,B, and C. If the angle between sides A and B is `(pi)/2`, the angle between sides B and C is `pi/4`, and the length of B is 4, what is the area of the triangle?

Answer 1

area = 8 square units

Explanation:

Since the angle between A and B is `pi/2 " then this is a right triangle with side C , the hypotenuse"`

Further , since the angle between B and C is `pi/4`

Then the angle between A and C must be `pi/4`

Making this a right isosceles triangle. Hence B = 4 then A = 4

and Area = `1/2 xx B xxA = 1/2 xx 4 xx 4 = 8 " square units"`