Answer:
B. 34.3 units
Step-by-step explanation:
We can see that the missing side is is the hypotenuse of the ΔDEF
So, Using the pythagoras theorem
H^2 = P^2 + B^2
= (8)^2 + (6)^2
= 64 + 36
= 100
√H^2 = √100
H = 10
Now we know all the three sides of triangle ΔDFG
We can use Hero's formula to find the area
[tex]s = \frac{(d+f+g)}{2}\\ = \frac{(7+11+10)}{2}\\ = \frac{28}{2}\\ = 14\\Area = \sqrt{s(s-d)(s-f)(s-g)} \\= \sqrt{14(14-7)(14-11)(14-10)} \\=\sqrt{(14)(7)(3)(4)}\\ =\sqrt{1176}\\ = 34.29\ units[/tex]
Rounding off will give us:
34.3 units
Hence Option B is correct ..
