Question - Calculating Distance Between Two Points
Solution:
To find the distance between the points (8, 2) and (3, 8), we use the distance formula derived from the Pythagorean theorem:Distance = √[(x2 - x1)² + (y2 - y1)²]Here, (x1, y1) is the point (8, 2) and (x2, y2) is the point (3, 8).Plugging in these values:Distance = √[(3 - 8)² + (8 - 2)²]Distance = √[(-5)² + (6)²]Distance = √[25 + 36]Distance = √61Distance ≈ 7.8 (rounded to the nearest tenth)So, the distance between the points is approximately 7.8 units.
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