A right triangle ABC is formed when we join three points around a lake. Length of the side AC = 6 miles. Length of the side BC = 2 miles. We have to find Length of side AB. Using Pythagorean theorem for Right triangle ABC , Right angled at B →AB² + BC²= AC² → AB² + 2²= 6² → AB² = 36 - 4 → AB²= 32 → AB = √ 32 →→AB = 5.66 (approx) Option (B) AB = 5.66 is Right choice.