Question

If in a AABC, r1, = 2r2, = 3r3, then the
perimeter oi ile triangle is equal to​

Answer 1

$~~~~~~~~~~\huge\sf\purple{\underline{Ur\:Answer:-}}$

$~~~~~~~~~~~~~~\purple\Rightarrow\sf {\frac{\Delta}{s - a} = \frac{2 \Delta}{s-b} = \frac{3 \Delta}{s - c}}$

$~~~~~~~~~~~~~~\red\Rightarrow \sf{\frac{s- a}{s- b} = \frac{1}{2}, \frac{s - c}{s - b} = \frac{3}{2}}$

$~~~~~~~~~~~~~~\red\Rightarrow\sf{ \frac{s - a + s - c}{s - b}} = 2$

$~~~~~~~~~~~~~~\purple\Rightarrow\sf{ a+b+ c = 3 b = 2s}$

⠀

⠀⠀⠀⠀Therefore, the perimeter of ⠀⠀⠀⠀triangle is equal to 3b or 2s.

⠀

⠀

⠀ ⠀═════════════════════

⠀⠀⠀⠀⠀⠀⠀

$~\sf\green{hope\: it\: helps}$

⠀ ⠀⠀⠀⠀ ⠀⠀