In a right triangle the lengths of the legs are 8 and 8 square root 3. Find the length of the hypotenuse.

Step-by-step explanation:

using a^2 = b^2+c^2

=> a^2 = 8^2 + 8*root3

=> a^2 = 64 + 64*3

=> a^2 = 64 + 192 = 256

=> a = 16

16

Step-by-step explanation:

Using pythagorean theorem, a^2+b^2=c^2, you can substitute the legs in. 8^2+8sqrt3^2=c^2. C is the hypotenuse. you get 64+64sqrt9=c^2. This simplifies to 64+64 (3) = c^2. This equals 256=c^2. Sqrt of 256 is 16, which is C.