The distance between (0, 0) and (0, 1) on a certain coordinate plane is 1cm. The distance between (0, 0) and (1, 0) on that same coordinate plane is 1cm. What is the distance between (0, 0) and (1, 1)? Explain your answer.

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If you asked this same question yesterday, refer to that post.

I know this was answered yesterday, but I search quickly and can't find it.

To find the distance between two points (x1, y1) and (x2, y2), we can use the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates are (0, 0) and (1, 1). So, x1 = 0, y1 = 0, x2 = 1, and y2 = 1. Plugging these values into the formula, we get:

Distance = √((1 - 0)^2 + (1 - 0)^2)
= √(1^2 + 1^2)
= √(1 + 1)
= √2

Therefore, the distance between (0, 0) and (1, 1) is √2 units.