Question

The parameters of trianglur field is 540 meter and the ratio of sides 5,:12:13 what will the area of fields

Answer 1

let x be a common multiple

so 5x+ 12x + 13x = 540

30x = 540

x = 18

so the sides are

a = 5*18 = 90

b = 12*18= 216

c = 13*18 = 234

area of triangle by three sides is by Heron's formula

Area = √(s*(s-a)*(s-b)*(s-c))

s = ( a+b+c)/2

s = 540/2. = 270

area = √(270*(180)*(54)*(36))

Area = √94478400

area = 9720 square meter