In the given figure Angle 90° AD perpendicular BD=2cm and CD=8cm Find AD​

1 thought on “In the given figure Angle 90° AD perpendicular BD=2cm and CD=8cm Find AD​”

1. Given:

   ∠BDC=90

   ∘

   ∠ABC=90

   ∘

   Let ∠BCD=x

   ∘

   Using triangle sum property in △BDC, ∠DBC=90−x

   ∘

   Also ∠ABD=x

   ∘

   Using triangle sum property in △ADB, ∠BAD=90−x

   ∘

   Now considering △BDC and △ADB

   ∠BDC=∠BDA [∵∠BDC=∠BDA=90

   ∘

   ]

   ∠DBC=∠DAB [∵∠DBC=∠DAB=(90−x)

   ∘

   ]

   So by AA

   △BDC∼△ADB

   Hence

   CD

   BD

   =

   BD

   AD

   CD

   8

   =

   8

   4

   CD=16

   Hence CD=16cm

   Reply