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Question: In a triangle if r<sub>1</sub>\> r<sub>2</sub>\> r<sub>3</sub>, then...

In a triangle if r1> r2> r3, then

A

a> b > c

B

a < b < c

C

a> b and b < c

D

a < b and b > c

Answer

a> b > c

Explanation

Solution

We have r1 > r2 > r3

⇒ Δs−a>Δs−b>Δs−c\frac { \Delta } { s - a } > \frac { \Delta } { s - b } > \frac { \Delta } { s - c }

⇒

⇒ s – a < s – b < s – c

⇒ –a < –b < –c ⇒ a > b > c