Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Let triangle ABC similar triangle DEF and their areas be, respectively, 64 cm^ 2 and 121 cm ^ 2. If EF = 15.4 cm, find BC.

Q1  Let \Delta ABC \sim \Delta DEF and their areas be, respectively, 64 cm^2 and 121 cm^2. If

         EF = 15.4 cm, find BC.

Answers (1)

best_answer

\Delta ABC \sim \Delta DEF              ( Given )

ar(ABC) = 64 cm^2 and ar(DEF)=121 cm^2.

EF = 15.4 cm                              (Given )

\frac{ar(\triangle ABC)}{ar(\triangle DEF)}=\frac{AB^2}{DE^2}=\frac{BC^2}{EF^2}=\frac{AC^2}{DF^2}

\frac{64}{121}=\frac{BC^2}{(15.4)^2}

\Rightarrow \frac{8}{11}=\frac{BC}{15.4}

\Rightarrow \frac{8\times 15.4}{11}=BC

\Rightarrow BC=11.2 cm

 

 

 

 

 

 

 

 

Posted by

seema garhwal

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2027 LIVE: Class 10, 12 exam dates at cbse.gov.in soon; timetable, guidelines, updates
anam-khan

CBSE Board Exams 2027: Registration, LOC submission to begin shortly; schools to verify student details

Latest Question