Question

construct a triangle in which three sides are in the ratio 1:3:5 and its perimeter is 13.5 cm

Answer 1

let the sides be 1x 3x and 5x
now perimeter = x+3x+5x = 9x
which is equal to 13.5cm
so 9x = 13.5 cm
solving this , value of x = 1.5.
now the sides of triangle are x = 1.5 cm
3x = 1.5*3 = 4.5 cm and 5x = 5*1.5 = 7.5 cm