find the distance between the points A (1,3) and B (4,7)
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Answer:
answer is 5 units.
Step-by-step explanation:
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The distance between the two points is 5 units.
Given:
two points: A (1, 3) and B (4, 7)
To Find:
the distance between the two points
Solution:
according to the distance formula, the distance between 2 points (x₁, y₁) and (x₂, y₂) is given as-
distance = √{(x₂ - x₁)² + (y₂ - y₁)²}
in this case, x₁ = 1, x₂ = 4, y₁ = 3, and y₂ = 7
thus, the distance between A and B will be-
AB = √{(4 - 1)² + (7 - 3)²}
= √(3² + 4²)
= √(9 + 16)
= √25
= 5
Thus, the distance between the two points is 5 units.
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