Trigonometric Equations Question 329
Question: If the sides of a triangle are in ratio 3 : 7 : 8, then R : r is equal to
Options:
A) 2 : 7
B) 7 : 2
C) 3 : 7
D) 7 : 3
Show Answer
Answer:
Correct Answer: B
Solution:
- Let $ a=3k,,b=7k,,c=8k $
$ \therefore $ $ s=\frac{1}{2}(a+b+c)=9k $ Then $ \frac{R}{r}=\frac{abc}{4\Delta }.\frac{s}{\Delta }=\frac{abc.s}{4s(s-a),(s-b),(s-c)} $ = $ \frac{3k,.,7k.,8k}{4.,6k,.,2k,.,k}=\frac{7}{2} $ i.e., $ R:r=7:2 $ .
BETA
