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 A lattice point has integer coordinates. An ant walks directly from (0, 0) to (24, 18). How many lattice points does it walk through while traveling?

 

First things first, what is a lattice point? I looked it up but didn't understand the explanation could you explain in simpler terms

 

And also could you explain step by step don't give me an answer straight up please

 Oct 29, 2022
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The answer is 16.

 Oct 29, 2022
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ok thanks

coolkidslovemath1982  Oct 30, 2022
edited by coolkidslovemath1982  Oct 30, 2022
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First things first, what is a lattice point?  

It's just a point on a grid of points.  Think of a sheet of graph paper.  

 

An ant walks directly from (0, 0) to (24, 18). How many lattice points does it walk through while traveling?  

The ant walks to a point that's 24 over and 18 up, except he goes in a straight line.  

Think of the ant's route as the hypotenuse of a right triangle with legs 24 and 18.  

 

In a right triangle, the hypotenuse is the square root of the sum of the squares of the legs. 

 

This is usually represented as c2 = a2 + b2     In this case, c2  =  242 + 182  =  900  

 

                                                                                            c  =  sqrt(900)  =  30  

.

 Oct 29, 2022

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