Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In Fig. 6.58, ABC is a triangle in which Ð ABC > 90° and AD perpendicular CB produced. Prove that AC square equals AB2 plus BC square plus 2 BC . BD.

Q3   In Fig. 6.58, ABC is a triangle in which \angle  ABC > 90° and AD \perp CB is produced. Prove that  AC^2 = AB^2 + BC^2 + 2 BC . BD.     

 

Answers (1)

best_answer

In \triangleADB, by Pythagoras theorem

AB^2=AD^2+DB^2.......................1

In \triangleACD, by Pythagoras theorem

AC^2=AD^2+DC^2.......................2

AC^2=AD^2+(BD+BC)^2

\Rightarrow AC^2=AD^2+(BD)^2+(BC)^2+2.BD.BC

AC^2 = AB^2 + BC^2 + 2 BC . BD.            (From 1)

 

 

 

 

 

 

 

 

Posted by

seema garhwal

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE to conduct Class 10, 12 practical board exams 2026-27 from November 9
anam-khan

CBSE opens LOC correction facility for Class 10, 12 board exams 2027; make changes by November 7
anam-khan

CBSE Date Sheet 2027 LIVE: Class 10, 12 subject-wise timetable soon; two board exam policy, grading system

Latest Question