perimeter = sum of sides
let x be the variable
. the given ratio is 12:13:5 .
therefore the sum of the sides = 13x+12x+5x .
perimeter = 30x . given perimeter = 450 .
30x = 450 x =15m
. the sides are 12*15, 13*15, 5*15.
it is a right angle triangle since 13^2 = 12^2 + 5^2 .
Area = 1/2*b*h = 1/2*12*15*5*15 = 6750sq m