Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  Olympiad-Math  >>  Class 9
Answer
Comment
Share
Q)

$\Delta ABC\sim \Delta DEF$.If $BC=3$ cm,$EF=4$ cm and ar$(\Delta ABC)=54\; cm^2$,then ar$(\Delta DEF)$=

$\begin{array}{1 1}108\;cm^2\\96\;cm^2\\48\;cm^2\\100\;cm^2\end{array} $

1 Answer

Comment
A)
$\triangle ABC \sim \triangle DEF$
When 2 triangles are similar,
then,
$\frac{Area of \triangle ABC}{Area of \triangle DEF} = \frac {AB^2}{DE^2} = \frac{BC^2}{EF^2} = \frac{AC^2}{DF^2}$
Area of $ \triangle ABC = 54cm^2$ ; BC = 3cm EF = 4cm
$\frac {54}{Area of \triangle DEF} = \frac{3^2}{4^2}$
$\frac{54}{Area of \triangle DEF} = \frac{9}{16}$
Area of $\triangle DEF = \frac{16 \times 54}{9}$
Area of $\triangle = 96cm^2$
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...