The perimeter of a triangle field is 450 m and its sides are in the ratio 13 : 12 : 5. Find the area of triangle.

Asked by Topperlearning User | 14th Mar, 2014, 08:07: AM

Expert Answer:

Let a,b,c be the sides of a triangle in the ratio 13 : 12 : 5 

a:b:c  = 13 : 12 : 5  =>a=13x, b=12x, c=5x

     Perimeter  =13x+12x+5x=450 => 30x=450 

                  
                    
        

Given that                2s = 450;
                                      S = 225
   
 
Hence, area of triangle   =     =
                        =
                        =
                        =  
                         = 53 ×33 × 2 = 6750 m2

Answered by  | 14th Mar, 2014, 10:07: AM