• plot the two points
1 answer:
9514 1404 393
Answer:
√29
Step-by-step explanation:
We can call the given points A(3, 4) and B(-2, 6).
The right triangle with segment AB as a hypotenuse can best be drawn along grid lines. Then the vertical leg is the difference of y-coordinates: 6-4 = 2, and the horizontal leg is the difference of x-coordinates: 3 -(-2) = 5.
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.
AB² = 2² + 5²
AB² = 4 + 25 = 29
Taking the square root, we find the length of the line segment between the points to be ...
AB = √29
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