Remember that the area ratio between similar figures is the square of the
side ratio. Here the side ratio is so the area ratio is If the
area of the small triangle is x, then the area of the large one is
4 . B
Drop an altitude, and you’ll reveal two hidden special triangles:
Now you can use the known side ratios of 45-45-90 and 30-60-90
triangles to get all the lengths you need. If the hypotenuse of a 45-45-90
is 2, then each leg is
Now that you know the short leg of the 30-60-90, you can multiply that
by to find that the longer leg is