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# What is the distance between the points with coordinates (-5, 5) and(5, -5)?

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What is the distance between the points with coordinates (-5, 5) and(5, -5)?

Apr 13, 2021

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If you know The Pythagorean Thereom, you know that a^2+b^2=c^2 where A and B are the two shorter sides, and C is the longest side. So if you draw out the right triangle, the side lengths of A and B will be 10 and 10, and you just have to plug in the values, 10^2+10^2=100+100=200, but you have to find the square root of 200, and $$\sqrt200$$ simplifies to $$10\sqrt2$$

Apr 14, 2021

#1
+28
+1
If you know The Pythagorean Thereom, you know that a^2+b^2=c^2 where A and B are the two shorter sides, and C is the longest side. So if you draw out the right triangle, the side lengths of A and B will be 10 and 10, and you just have to plug in the values, 10^2+10^2=100+100=200, but you have to find the square root of 200, and $$\sqrt200$$ simplifies to $$10\sqrt2$$