Jumping Frog

Number Theory Level 2

A frog hops and lands exactly 1 meter away at a time. What is the least number of hops required to reach a point 10 cm away?

2 It cannot travel such a distance 1 3

Ravneet Singh by Ravneet Singh , 30, India

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1 solution

Keith Dodgshon
Jul 15, 2016

Imagine an isosceles triangle with a base length of 10cm and then the two sides of equal length are 1 meter long. The frog would follow the two equal sides and end up 10cm away from his starting point.

7 Helpful 0 Interesting 0 Brilliant 0 Confused

Right. But you have to prove that such a triangle can be constructed or toi argument it in order for the proof to be rigorous anyway.

A A - 4 years, 11 months ago

What a question ! Great. Thanks for the solution.

Aarzoo Zooey - 4 years, 7 months ago

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