What is the area of a 45-45-90 triangle with a hypotenuse of 24?

1 Answer
May 15, 2018

208.52 (units)

Explanation:

As 45'45'90' is an isosceles right-angled triangle, the height is also the width.

To find the height or width you use either
sintheta=o/h
or
costheta=a/h

Then you substitute the angle and h into the equations to make.
width or height = sin45 * 24 = cos45 * 24= o = a

The Area of a triangle is (bh)/2
When substituting you get A=(sin45*24)^2/2=208.522601...

Then you round 208.522601 to 2dp to get 208.52 (units)