Question

Show that for a triangle with radii of circum-circle and in-circle equal to R, r respectively, the inequality R > 2r holds

Answer 1

@ajprincess HELP

Answer 2

@noided

Answer 3

interesting

Answer 4

ok

Answer 5

it seems so logic but to prove it is a step further

Answer 6

ok

Answer 7

@waterineyes

Answer 8

@nathan917

Answer 9

What??? o_o

Answer 10

ok

Answer 11

okay let's consider the triangle where this is the least probable, this is a triangle with each corner 60 degrees and therefore all sides equally long

Answer 12

let's say the sides have length x

Answer 13

now find R and r in function of this x

Answer 14

if you know the formula for the radius of the circum- and in- circles of a triangle then you should be able to deduce the result.

Answer 15

@goformit100 By what??? i mean i don't get it :D