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)