Question 496272
First I would find the other angle, 90 + 35 = 125.
180 -125 = 55 degrees.
We can use the sin function, since know the hypotenuse.

Sin 35 degrees = opp/hypotenuse = 4.59 inches for this side.
sin 55 degrees = opp/hypotenuse = 6.55 inches for this side.

4.59^2 + 6.55^2 = 8^2
21.1 + 42.9= 64 inches
This does check.
Cleomenius