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Math Help - Constructing a Segment

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    Constructing a Segment

    Given a segment of length a, show two different ways for constructing a segment of length (i) (square root of (19)) * a and (ii) a * (square root of (2/3))
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    Quote Originally Posted by MATNTRNG View Post
    Given a segment of length a, show two different ways for constructing a segment of length (i) (square root of (19)) * a and (ii) a * (square root of (2/3))
    Start by assembling a checklist of techniques for constructing segments whose length is some multiple of a. For example, can you construct one with length ka (where k is a whole number)? What about a/k? ... or \sqrt2a? What about \sqrt ka for other values of k? (Think of a right-angled triangle in which two sides are known multiples of a. What will be the length of the hypotenuse?)
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