GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?

Question

GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?

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Linh Đan 3 years 2021-09-03T05:36:50+00:00 1 Answers 18 views 0

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  1. thnahdat
    0
    2021-09-03T05:37:54+00:00
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    Consider IJ and GL are the parallel sides of the trapezoid.

    Given:

    In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

    To find:

    The length of the mid segment HK.

    Solution:

    The length of the mid segment of a trapezoid is:

    \text{Midsegment}=\dfrac{b_1+b_2}{2}

    where, b_1,b_2 are two parallel side or bases of the trapezoid.

    HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

    HK=\dfrac{IJ+GL}{2}

    HK=\dfrac{7+15}{2}

    HK=\dfrac{22}{2}

    HK=11

    Therefore, the length of HK is 11 units.

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