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Question
What is the distance of the point (– 5, 4) from the origin?
Options
3 units
`sqrt(14)` units
`sqrt(31)` units
`sqrt(41)` units
Solution
`sqrt(41)` units
Explanation:
Given points are (– 5, 4) and (0, 0).
Distance = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
Here, x1 = – 5, y1 = 4, x2 = 0, y2 = 0
∴ Distance = `sqrt((0 - (- 5))^2 + (0 - 4)^2`
= `sqrt(5^2 + 4^2)`
= `sqrt(25 + 16)`
= `sqrt(41)`
Thus, the distance is `sqrt(41)` units.
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Case Study -2
A hockey field is the playing surface for the game of hockey. Historically, the game was played on natural turf (grass) but nowadays it is predominantly played on an artificial turf.
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Each team plays with 11 players on the field during the game including the goalie. Positions you might play include -
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