Answer:
D
Explanation:
First, to find the length of the side FH we will use the Pythagorean theorem which states
. We can say that FH = a, FG = b, and HG = c. Since we know the values of b and c, we will rearrange the formula to solve for a
. That will be
which gives us 13.4 for the missing side.
Now to solve for the angles we will use simple trigonometry. Since we know that
, we can do inverse trigonometry for the missing angles
. For angle H, we can do
which gives us 41.8 degrees. For angle G we can do
and we get 48.1 degrees. We could also use inverse cos and trig to solve it.
Looking at the answer choices, only answer choice D is correct.