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Question
Find distance between points O(0, 0) and B(–5, 12).
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Solution
Let O(x1, y1) = O(0, 0) and B(x2, y2) = B(–5, 12)
∴ x1 = 0, y1 = 0, x2 = –5, y2 = 12
By distance formula,
d(O, B) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
= `sqrt((-5 - 0)^2 + (12 - 0)^2`
= `sqrt((-5)^2 + 12^2`
= `sqrt(25 + 144)`
= `sqrt(169)`
∴ d(O, B) = 13 units
∴ The distance between the points O and B is 13 units.
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