Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • D is a point on the side BC of a triangle ABC such that angle ADC = angle BAC. Show that CA ^ 2 =CB.CD.

Q13  D is a point on the side BC of a triangle ABC such that \angle ADC = \angle BAC. Show that CA^2 = CB.CD.

Answers (1)

best_answer

In, \triangle ADC \, \, and\, \, \triangle BAC,

\angle ADC = \angle BAC             ( given )

\angle ACD = \angle BCA              (common )

\triangle ADC \, \, \sim \, \, \triangle BAC,           ( By AA rule)

\frac{CA}{CB}=\frac{CD}{CA}    ( corresponding sides of similar triangles )

\Rightarrow CA^2=CB\times CD

 

 

 

 

 

 

 

Posted by

seema garhwal

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Board Exam Dates 2027 LIVE: Class 10th, 12th subject-wise timetable soon at cbse.gov.in, LOC submission

Latest Question