Question

Sides of a triangle are in ratio 5 : 12 : 14 and perimeter is 300 cm find x area

Answer 1

let the smallest side be l ,

therefore let the sides be 12l ,5l ,14l

perimeter =sum of all sides

300            =5l+12l+14l

300             =31l

l                   = 300/31

                  =9.67cm

therefore the sides are ,

a=5* 9.67   = 48.35

b=12 * 9.67  =  116. 04

c=14* 9.67   = 135.38

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

we know that ,

perimeter/2 =s

s=150cm

according to herons' formula ,

area=√s(s-a)(s-b)(s-c) sq units

=√150(150-48.35)(150-116. 04)(150-135.38)

=√150(101.65) (33.96) (11.62)

= √6016895.262

=2452.93 Sq cm

hope it helps