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 | 5th 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 | 6th Mar, 2018, 08:40: AM