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algebra intermediate
Problem
What is the distance between the points with coordinates and ? Express your answer in simplest radical form.
Solution
We use the distance formula: .
- OR -
We note that the points , , and form an isosceles right triangle (a 45-45-90 triangle) with legs of length 10. Therefore, the hypotenuse has length .
- OR -
We note that the points , , and form an isosceles right triangle (a 45-45-90 triangle) with legs of length 10. Therefore, the hypotenuse has length .
Final answer
10\sqrt{2}