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6 December, 08:27

Nate rides his bike to school every day. From his home he rides 2.5 miles north, and then six miles west. If a straight line is drawn from Nate's house to the school, find the distance between these two locations.

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  1. 6 December, 08:34
    0
    use Pythagorean Theorem

    2.5^2 + 6^2 = x^2

    6.25 + 36 = 42.25

    x = sqrt (42.25) = 6.5 miles
  2. 6 December, 12:25
    0
    By the Pythagorean Theorem, the length of the hypotenuse of a right triangle is equal to the sum of the side lengths squared, mathematically:

    h^2=x^2+y^2

    h^2=6^2+2.5^2

    h^2=36+6.25

    h^2=42.25

    h=√ (42.25) miles

    h=6.5 miles
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