Given that , , and the area of the , find the area of the approximated to nearest hundredth.
In , is an altitude drawn to
hypotenuse . It divides into
and . Both and
are similar to . In
and , side
corresponds to side , side
corresponds to side , and side
corresponds to side . Use the fact that the ratio
of the areas of the surfaces of two similar triangles equals the
square of the ratio of the lengths of any two corresponding sides
of the triangles to find the area of .
Since the area of is equal to the area of
plus the area of , the area of
is , which approximately equals .