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Math Help - How far apart are points O and P?

  1. #1
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    How far apart are points O and P?

    Not sure if I should put this under the Geometry section?

    Starting from point O on a flat school playground, a child walks 10yards due north, then 6yards due east, and then 2 yards due south, arriving at point P. How far apart, in yards, are points O and P?
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  2. #2
    Senior Member ecMathGeek's Avatar
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    Quote Originally Posted by thecapaccino View Post
    Not sure if I should put this under the Geometry section?

    Starting from point O on a flat school playground, a child walks 10yards due north, then 6yards due east, and then 2 yards due south, arriving at point P. How far apart, in yards, are points O and P?
    This involves a right triangle:

    He went north 10 yards and later south 2 yards, that's a total of 8 yards north from O. Likewise he went 6 yards east of O. If we think of his movement north as the measure of one leg of a right triangle and his movement east as the measure of the other leg of that right triangle, then we can find the distance from O to P as the measure of the hypotonuse of that right triangle.

    c^2 = a^2 + b^2 ... where a = 8 and b = 6
    c^2 = 8^2 + 6^2 = 64 + 36 = 100
    c = 10
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  3. #3
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    Pythagoreums Theory ok

    Yes...I did try and use it..but did not subtract 2yards from the 10yards north...which made my answer wrong.

    Thanks...clears up things now.

    Cheers
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