# 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?

##### 1 Answer

Feb 20, 2016

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"#