Question

Find the distance between the points (7,14) and (18,5).

Answer 1

Exact distance =
`√(202)`

Approximate distance = 14.2127

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Work Shown:

`(x_1,y_1) = (7,14) \text{ and } (x_2, y_2) = (18,5)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((7-18)^2 + (14-5)^2)\\\\d = √((-11)^2 + (9)^2)\\\\d = √(121 + 81)\\\\d = √(202)\\\\d \approx 14.2127\\\\`

Note: I used the distance formula. Though you could plot the points, form a right triangle, and use the pythagorean theorem as an alternative route. The distance formula is effectively a modified version of the pythagorean theorem.