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Question
Find the distance between the points O(0, 0) and P(3, 4).
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Solution
O(0, 0), P(3, 4)
∴ `(x_1, y_1) = (0, 0)`
`(x_2, y_2) = (3, 4)`
∴ `x_1=0, y_1= 0`
`x_2 = 3, y_2 = 4`
d(OP) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
= `sqrt((3 - 0)^2 + (4 - 0)^2`
= `sqrt((3)^2 + (4)^2)`
= `sqrt(9 + 16)`
= `sqrt(25)`
d(OP) = 5 units
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