Question

In triangle ABC if a:b:c, then R:r=​

Answer 1

Answer:

please follow me

Step-by-step explanation:

if a:b:c=3:7:8 then

R=

4△

abc

andr=

s

△

r

R

=

4△

abc

⋅

△

s

=

4(s−a)(s−b)(s−c)

abc

a:b:c=3:7:8

3

a

=

7

b

=

8

c

=k

∴s=

2

3k+7k+8k

=9k

∴

r

R

=

4(6k)(2k)(k)

3k×7k×8k

⇒

2

7