Answer:
Area of triangle = 144 ft²
Explanation
Using pythagorus theorem, since its a right angle triangle
sin(45) = height / hypotenuse
sin(45) = AC / 24
AC = sin(45)(24)
AC = 12√2
Cos(45) = Adjacent / hypotenuse
Cos(45) = BC / 24
BC = cos(45)(24)
BC = 12√2
Area of triangle = 1/2 Height * Base
Area of triangle = 1/2 AC * BC
Area of triangle = 1/2 ( 12√2 )( 12√2 )
Area of triangle = 144 ft²
So the area of triangle in this figure is 144ft²
