When you have to divide by a fraction, you have to multiply the other number by the fraction's reciprocal.
8 = 3/4 w Divide by 3/4
w = 8/(3/4)
w = 8/ (3/4) = 8 x 4/3 Multiply by the numerator and divide by the denominator.
w = (8 x 4) / 3
w = 32 / 3
w = 10 2/3
Step-by-step explanation:
can't really use the Pythagorean because you don't know this is a right triangle.
use the fact that they are similar
so
3/6 = x/12 where x is FE
cross multiply
6x = 36 therefore FE = 6
then 6/12 = y/9 where y is FD
cross multiply
12y = 54 = 54/12 therefore FD = 4.5