Question

Three sides of a triangle are in the ratio 2:3:4 and its perimeter is 13.5 cm. Construct the triangle using rulers and compasses and measure the length of sides of the triangle.

Answer 1

let the sides be 2x,3x,4x.
perimeter given=13.5
So,
as we know perimeter of triangle=sum of all sides.
then,
13.5=2x+3x+4x
13.5=9x
x=13.5/9
x=1.5
then sides will be
2x=2×1.5=
3x=2×1.5=
4x=2×1.5=
then find the sides