Trigonometric Equations Question 207
Question: In a $ \Delta ABC,\ r_1<r_2<r_3, $ then
[EAMCET 2003]
Options:
A) $ a<b<c $
B) $ a>b>c $
C) $ b<a<c $
D) $ a<c<b $
Show Answer
Answer:
Correct Answer: A
Solution:
- In a $ \Delta ABC,r_1<r_2<r_3 $
Þ $ \frac{1}{r_1}>\frac{1}{r_2}>\frac{1}{r_3}\Rightarrow \frac{s-a}{\Delta }>\frac{s-b}{\Delta }>\frac{s-c}{\Delta } $
Þ $ s-a>s-b>s-c\Rightarrow -a>-b>-c $ Þ $ a<b<c $ .