Hey guys 25 to me out in △def, df = 16 and m∠f=45. find the length of a leg. leave your answer in simplest radical form.

We have here an isosceles right triangle because there is a right angle and a 45 degree angle, and the m<D=45 as well
the hypotenuse is 16
we use the formula c^2=a^2+b^2
now we have a=b because the triangle is isosceles
c^2=2(a^2)
256=2(a^2)
256/2=a^2
128=a^2
a= 11.31 and b=11.31