Question

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

Answer 1

`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)