Answer :

Answer:

lengths of sides are 12 cm, 12 cm and 16 cm

Step-by-step explanation:

The perimeter of a triangle is the sum of the 3 sides.

let l be the length of the third side, then

l - 4 is the length of the two equal sides.

given the perimeter is 40 cm.

sum the 3 sides, equate to 40 and solve for l

l + l - 4 + l - 4 = 40 ( simplify left side )

3l - 8 = 40 ( add 8 to both sides )

3l = 48 ( divide both sides by 3 )

l = 16

and l - 4 = 16 - 4 = 12

the sides of the isosceles triangle are 12 cm , 12 cm and 16 cm