wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question


In ΔABC, B is a right angle, and BD is perpendicular to AC and DE is perpendicular to BC. Find the value of AD.DC .

Open in App
Solution

In ΔABD & ΔBDCADB=BDC=90A=DBC ( Since in ΔBDC,DBC=90C=A
In ΔABCA=90C),ΔADBΔBDC by AA-similarity
ADDB=BDDC=ABBCBD2=AD.DC
Similarly ΔBDCΔBEDDBC=DBE (Common angle)BDC=DEB = 90BDBE=DCED=BCBDBD2=BE.BCBD2=AD.DC=BE.BC

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Similar Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon