Question

15. In a trapezium ABCD,
seg AB || seg DC
seg BD I seg AD,
seg ACI
seg BC,
If AD = 15, BC = 15
and AB = 25. Find A(O ABCD)​

Answer 1

Answer:

AC=

25

2

−15

2

​

AC=

400

​

=20

Suppose E is a perpendicular from D to AB.

DE

2

=AE

2

+AD

2

and DE

2

=EB

2

+BD

2

AE

2

+AD

2

=EB

2

+BD

2

x

2

+15

2

=(25−x)

2

+20

2

225=625−50x+400

50x=800

x=16

Hence, DE

2

=AE

2

+AD

2

DE

2

=16

2

+15

2

=481

DE=

481

​

Step-by-step explanation: