Stephen's Moped Adventure

Stephen Buys a New Moped

Stephen buys a new moped and decides to go on a little adventure. He travels 4km south and then 6km east. He is curious to know how far he needs to go to get back to where he started.

Calculate the Distance

Answer: My answer is 7.2 km

Explanation: When Stephen goes to the south and then to the east, he is drawing a right triangle, where the 4 km and 6 km sides are the legs of a right triangle. To find how far he needs to go to get back to the starting point, we use the Pythagorean theorem.

We need to find the hypotenuse. Let's denote the hypotenuse as c, and the legs as a and b.

c² = a² + b²

c² = 4² + 6²

c² = 16 + 36

c² = 52

c = √52

c = 7.2 km

How far does Stephen need to go to get back where he started?

Stephen needs to go 7.2 km to get back where he started.