Isosceles triangle has a base of 12 and a height of 8. What is the length of the legs?

Pythagorean theorem. a^2 + b^2 = c^2. Base divide by 2 = 6 which is the base for each of half of this triangle. Thus 6^2 + 8^2 = c^2. C= 10. The Length of each of the two legs is 10.