Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. 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.

Filters

Select Stream
Select Type
Select Exam
Select Subject
Select Chapter
Select Exercise
Q&A - Ask Doubts and Get Answers
Q
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)
Views
S seema garhwal

\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

 

 

 

 

 

 

 

 

Similar Questions

Related Chapters

Exams
Articles
Questions