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Find the distance between the points A(2, 3) and B(5, 7).
Find the distance between the points A(2, 3) and B(5, 7).
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Practice Questions
1 question
Q1
Find the distance between the points A(2, 3) and B(5, 7).
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Distance = √[(5-2)² + (7-3)²] = √[3² + 4²] = √[9 + 16] = √25 = 5.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the distance between the points A(2, 3) and B(5, 7).
Solution:
Distance = √[(5-2)² + (7-3)²] = √[3² + 4²] = √[9 + 16] = √25 = 5.
Steps: 9
Show Steps
Step 1: Identify the coordinates of point A, which are (2, 3).
Step 2: Identify the coordinates of point B, which are (5, 7).
Step 3: Use the distance formula: Distance = √[(x2 - x1)² + (y2 - y1)²].
Step 4: Substitute the coordinates into the formula: Distance = √[(5 - 2)² + (7 - 3)²].
Step 5: Calculate (5 - 2) which equals 3, and (7 - 3) which equals 4.
Step 6: Square the results: 3² = 9 and 4² = 16.
Step 7: Add the squared results together: 9 + 16 = 25.
Step 8: Take the square root of 25: √25 = 5.
Step 9: The distance between points A and B is 5.
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