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Math Help - word questions

  1. #1
    Senior Member euclid2's Avatar
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    word questions

    1.Which geometric figure has two sides with a slope-4/5 and two with 4/5 that has four sides which are all equal in length?

    2. If your are given three points that represent the vertices of a triangle PQR, without measuring or drawing a sketch, how would you determine if the triangle is a right triangle. Explain.

    Thanks
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  2. #2
    MHF Contributor
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    Quote Originally Posted by euclid2 View Post
    1.Which geometric figure has two sides with a slope-4/5 and two with 4/5 that has four sides which are all equal in length?

    2. If your are given three points that represent the vertices of a triangle PQR, without measuring or drawing a sketch, how would you determine if the triangle is a right triangle. Explain.

    Thanks
    1) slope -4/5 and slope 4/5 are not negative reciprocls.
    If they were, then the figure would have been a square.
    As it is, the figure is a parallelogram, or more specifically, a rhombus.

    2) Solve for the slopes of the 3 sides.
    If there are two slopes that are negative reciprocals, then PQR is a right
    triangle.

    If two lines are perpendicular, then their slopes are negative reciprocals.
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  3. #3
    Senior Member nikhil's Avatar
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    Lightbulb Check it out

    Quote Originally Posted by euclid2 View Post
    1.Which geometric figure has two sides with a slope-4/5 and two with 4/5 that has four sides which are all equal in length?

    2. If your are given three points that represent the vertices of a triangle PQR, without measuring or drawing a sketch, how would you determine if the triangle is a right triangle. Explain.

    Thanks
    hi!euclid
    1) I don't think there is any geometric figure whose all length and slopes are equal.(may be 4
    parallel line segments of equal length and slope 4/5 but you can not call the line segment of such figure a side).(may be you wanted to ask something else but you have given a wrong data.May be you wanted to say two sides with slope 4/5 and two with other but equal slope.but in data you gave all slope=4/5).
    2)find the distance between the points(using distance formula) and use pythagoras theorem.
    Or find the tan of all the angles,you will definitly get infinity for the right angle.
    NOTE:tan of angle between line of slope m1 and m2 =mod [(m1-m2)/1+m1m2].
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