It's a 30 60 90 right triangle ratio of short leg : long leg : hypotenuse = a : a√3 : 2a If hypotenuse = 8 = 2 * 4 (a = 4) short leg = 4 so long leg x = 4√3
answer: B. 4√3 ----------------------
2nd pic It's 45 45 90 right triangle ratio of leg : leg : hypotenuse = a : a : a√2 Given leg= 6√2 so hypotenuse = 6√2 * √2 = 6 * 2 = 12