ICSE Class 9 Answered

abcd is a quadrilateral in which ab=ad,angle a=90 degree=angle c,bc=8cm and cd=6cm.calculate ab and area of abcd

Asked by piyalighosh38 | 05 Mar, 2018, 10:30: PM

Expert Answer

begin mathsize 16px style According space to space the space question space angle straight C equals 90 degree In space increment BCD comma BC equals 8 space cm comma space CD equals 6 space cm BC squared plus CD squared equals BD squared 8 squared plus 6 squared equals BD squared BD squared equals 64 plus 36 BD squared equals 100 BD equals 10 space cm Also space in space increment BAD comma angle straight A equals 90 degree comma space AD equals AB DA squared plus AB squared equals BD squared BD squared equals 2 AB squared 10 squared equals 2 AB squared AB squared equals 50 AB equals 5 square root of 2 space cm space equals space AD Area space of space ABCD equals Area space of space increment BCD plus Area space of space increment BAD equals 1 half cross times 5 square root of 2 cross times 5 square root of 2 plus 1 half cross times 8 cross times 6 equals 25 plus 24 equals 49 space cm squared end style

Answered by Sneha shidid | 06 Mar, 2018, 08:40: AM

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