SAT Subject Test Mathematics Level 1

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