well actually this is wrong because is the angles are 30 and 60 degrees the other one should be 90 (180-(30+60)) then it will be a right angle according to The Pythagorean Proposition: [tex] {a}^{2} = {b}^{2} + {c}^{2} \\ {8}^{2} + {6}^{2} = {10}^{2} [/tex] so you should have written 10cm instead of 15 cm