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Question
Find the distance between the following pairs of point:
`(sqrt(3)+1,1)` and `(0, sqrt(3))`
Solution
`(sqrt(3)+1,1)` and `(0, sqrt(3))`
Distance between the given points
= `sqrt((0 -sqrt(3) - 1)^2 + (sqrt(3) - 1)^2)`
= `sqrt(3 + 1 + 2sqrt(3) + 3 + 1 - 2sqrt(3)`
= `sqrt(8)`
= 2`sqrt(2)`
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By distance formula,
PQ = `sqrt(square + (y_2 - y_1)^2`
= `sqrt(square + square)`
= `sqrt(square + square)`
= `sqrt(square + square)`
= `sqrt(125)`
= `5sqrt(5)`
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