Question

The area of
of a triangle is 150 co? and its
sides are in the ratio 3:4.5 what is its
Perimeter​

Answer 1

solution:

side 1 = 3x

side 2= 4x

side 3= 5x

area = 150 $cm^{2}$

semi perimeter= 3x+4x+5x ÷ 2

                         = 6x

and,

$\sqrt{s(s-a)(s-b)(s-c)}$ = 150

$\sqrt{6x(6x-3x)(6x-4x)(6x-5x)}$ = 150

$\sqrt{6x X 3x X 2x X x}$ = 150

$\sqrt{36x^{4} }$ = 150

6$x^{2}$= 150

$x^{2}$ = 25

x = 5

--------------------------------------------------

side 1 = 3X 5

          = 15

side 2 = 4 X 5

           =  20

side 3 = 5 X 5

           = 25

perimeter = side 1 + side 2 + side 3

                = 15+20+25

                = 60 cm

Hope it helps !!!