For a 30-60-90 triangle, the hypotenuse is twice the short side (side opp. the 30 deg. angle) and the long side (side opp. 60 deg. angle) is equal to the short side times the square root of 3.
You are given the hypotenuse = 8. The side opposite the 30 deg. angle would be 1/2 of 8 or 4. The side opp. the 60 deg. angle would be .
In the 45-45-90 triangle, the two legs are equal and the hypotenuse is equal to a leg times the square root of 2.
You are given a leg of 6. Therefore, the hypotenuse is
These rules can easily be found using the Pathagorean theorem, but it's best if you just memorize them.