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Thread: Maths urgent help please!

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    Exclamation Maths urgent help please!

    Hi I need help with the following question please:

    A quadrilateral has two parallel sides measuring 25 cm and 37 cm. What is the
    distance, in centimetres, between the midpoints of the diagonals

    Thanks
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    Re: Maths urgent help please!

    Is the answer: 6 cm?
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    Re: Maths urgent help please!

    Quote Originally Posted by Drongoski View Post
    Is the answer: 6 cm?
    Yep that's right!!!!!!! May you please show me how you solved the question? Thanks !!
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    Re: Maths urgent help please!

    Quote Originally Posted by flowerp View Post
    Yep that's right!!!!!!! May you please show me how you solved the question? Thanks !!
    Draw 2 parallel lines (matters not how far apart they are), AB = 25 cm on top of DC = 37 cm so that the vertices from top left read, clockwise A, B, C and D. Let P be the mid-point of BD and Q the mid-point of AC. Draw a line thru P & Q to intersect AD at R and BC at S. R is mid-point of AD, and S, of BC.
    Now look at triangle ABD. RP = 0.5 x AB = 0.5 x 25 cm (triangles DRP ||| DAB). Similarly, looking at triangle ADC, RQ = 0.5 x 37cm. .: PQ = RQ - RP = 0.5(37 cm - 25 cm) = 6 cm.
    Last edited by Drongoski; 27 Jul 2018 at 11:12 PM.
    tiredd likes this.
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    Re: Maths urgent help please!

    Quote Originally Posted by Drongoski View Post
    Draw 2 parallel lines (matters not how far apart they are), AB = 25 cm on top of DC = 37 cm so that the vertices from top left read, clockwise A, B, C and D. Let P be the mid-point of BD and Q the mid-point of AC. Draw a line thru P & Q to intersect AD at R and BC at S. R is mid-point of AD, and S, of BC.
    Now look at triangle ABD. RP = 0.5 x AB = 0.5 x 25 cm (triangles DRP ||| DAB). Similarly, looking at triangle ADC, RQ = 0.5 x 37cm. .: PQ = RQ - RP = 0.5(37 cm - 25 cm) = 6 cm.
    Wow! Thank you sooo much !!!!
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