To find out how far Robert biked during this round trip, we need to find out what the short cut's length is. This can be found by using the Pythagorean Theorem. The Pythagorean Theorem states that for a triangle with sides a and b, and hypotenuse c, an equation relating the three is a² + b² = c². Now we can substitute the values we know and solve. The equation becomes:
6² + 8² = c²
c² = 100
c = 10
That means that the total distance that he biked is 10km + 8km + 6km = 24km.