The perimeter of the triangle MNK is 14.9cm. MK is 1.5 times larger than MN and MK

The perimeter of the triangle MNK is 14.9cm. MK is 1.5 times larger than MN and MK is 0.5 cm less than NK. Find the length of each side of the triangle.

Conditions of the problem:

MNK perimeter – 14.9 cm,

MK -? cm, 1.5 times more than MN,

MN -? cm,

NK -? cm is 0.5 cm larger than MC.

The problem is solved through x,

x cm – side МN,

1.5 * x cm – MK side,

1.5 * x + 0.5 cm – side NK,

Let’s make an equation and solve it

x + 1.5 * x + 1.5 * x + 0.5 = 14.9,

x + 1.5 * x + 1.5 * x = 14.9 – 0.5,

4 * x = 14.4,

x = 14.4 / 4,

x = 3.6 cm side MN,

1.5 * 3.6 = 5.4 cm MK side,

1.5 * 3.6 + 0.5 = 5.9 cm NK side.

Answer: 3.6 cm MN side, 5.4 cm MK side, 5.9 cm NK side.