distance between two points

Question

In Algebra 1 I am given the following problem:

 

The distance between (0, 1) and (4, 3) is what?

Please help me.

Answer 1

Using the pythagorean theorem, find the distance between the two x values and the distance between the two y values. These are the legs of the right triangle.

 

4-0 = 4

3-1 = 2

 

a^2 + b^2 = c^2

4^2 + 2^2 = c^2

16 + 4 = c^2

20 = c^2

take square root of both sides

4√2 = c or approx. 4.47

 

 

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