Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

The sides of a $\Delta$le are respectively 7cm,$4\sqrt 3$cm and $\sqrt{13}$cm then the smallest angle of the triangle is

$\begin{array}{1 1}(a)\;\large\frac{\pi}{6}&(b)\;\large\frac{\pi}{3}\\(c)\;\large\frac{\pi}{4}&(d)\;\large\frac{\pi}{5}\end{array}$

1 Answer

Comment
A)
Let $a=7cm$
$b=4\sqrt 3$
$c=\sqrt{13}$cm
$\Rightarrow$ Smallest side is C
Smallest angle will be C
$\cos C=\large\frac{a^2+b^2-c^2}{2ab}$
$\qquad=\large\frac{(7)^2+(4\sqrt 3)^2-(\sqrt{13})^2}{2\times 7\times 4\sqrt 3}$
$\qquad=\large\frac{49+48-13}{56\sqrt 3}$
$\qquad=\large\frac{97-13}{56\sqrt 3}$
$\qquad=\large\frac{\sqrt 3}{2}$
$C=\large\frac{\pi}{6}$
Hence (a) is the correct option.
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.
...