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4 August, 08:32

A rectangular park is 6 miles long and 3 miles wide. How long is a pedestrian route that runs diagonally across the park?

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  1. 4 August, 10:40
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    As it will create a triangle with 90o angle the pythagory says 6+3²=x²⇔ x²=45⇔ x=√45
  2. 4 August, 11:09
    0
    If the path runs diagonally, then a right angle triangle is made, with the width and length as the two sides, and the route taken as the hypotenuse.

    Pythagorus' Theorem tells us that; A² = B² + C²

    Where B and C are the two sides of a right angled triangle, and A is the hypotenuse.

    Route taken = A

    A² = B² + C²

    A² = 3² + 6²

    A² = 9 + 36

    A² = 45

    A = √45

    A = 6.7 miles
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