Question #N673

In triangle ABC, angle A is a right angle, and the lengths of sides AC and BC are 6 and 8, respectively. What is the length of side AB?
A. 2
B. 10
C. $\sqrt{10}$
D. $\sqrt{100}$

Correct Answer is: B

Triangle ABC is a right triangle, so we can use the Pythagorean Theorem: $a^2 + b^2 = c^2$, where a and b are the lengths of the legs and c is the length of the hypotenuse. In this case, AC = 6 and BC = 8, so $6^2 + 8^2 = c^2$. Simplifying, we get $36 + 64 = c^2$, or $100 = c^2$. Taking the square root of both sides, we get $c = \sqrt{100}$, or $c = 10$. Therefore, the length of side AB is 10.