two parallel sides of a Trapezium are 60cm and 77 cm and other sides are 25 cm and 26 cm . Find the area of the trapezium ​

Question

two parallel sides of a Trapezium are 60cm and 77 cm and other sides are 25 cm and 26 cm . Find the area of the trapezium ​

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Eva 2 weeks 2021-09-14T01:48:34+00:00 2 Answers 0 views 0

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    0
    2021-09-14T01:50:01+00:00

    Answer:

    Draw a line BC parallel to AD 

    Draw a perpendicular line BE on DF

    ABCD is a parallelogram.

    BC=AD=25cm

    CD=AB=60cm

    CF=77-CD=17cm

    For Δ BCF

    perimeter of triangle=(25+26+17)/2

    =68/2=34

    By Heron’s Formula of triangle=√s(s-a)(s-b)(s-c)

    =√34(34-25)(34-26)(34-17)

    =204cm²

    Now area of ΔBCF=1/2xbase x height

    =1/2 BExCF204cm²

    =1/2x BEx17BE

    =408/17

    =24cm

    Area of Trapezium =1/2(AB+DF)xBE

    =1/2(60+77)x24

    =1644cm²

    0
    2021-09-14T01:50:10+00:00

    Draw a line BC parallel to AD

    Draw a perpendicular line BE on DF

    ABCD is a parallelogram.

    BC=AD=25cm

    CD=AB=60cm

    CF=77-CD=17cm

    For Δ BCF

    perimeter of triangle=(25+26+17)/2

    =68/2=34

    By Heron’s Formula of triangle=√s(s-a)(s-b)(s-c)

    =√34(34-25)(34-26)(34-17)

    =204cm²

    Now area of ΔBCF=1/2xbase x height

    =1/2 BExCF204cm²

    =1/2x BEx17BE

    =408/17

    =24cm

    Area of Trapezium =1/2(AB+DF)xBE

    =1/2(60+77)x24

    =1644cm²

    HOPE THIS HELPS

    MARK AS BRAINLIEST

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