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)
Answers
Answered by
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:
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