Known isosceles triangle on both sides of 5 cm, 7 cm, find perimeter

Known isosceles triangle on both sides of 5 cm, 7 cm, find perimeter

17 or 19

It is known that the circumference of an isosceles triangle is 14 and the ratio of two sides is 3:2

Analysis: let two sides of triangle be 2x, 3x, and discuss two cases: waist length and bottom length
The length of two sides is 2xcm and 3xcm,
(1) When 2x is waist length, 2x + 2x + 3x = 14,
The solution is x = 2,
The length of three sides is 4cm, 4cm and 6cm;
(2) When 3x is waist length, 3x + 3x + 2x = 14,
The solution is x = 7 / 4,
The length of three sides is 21 / 4cm, 21 / 4cm and 7 / 2cm;
So the length of three sides is 4cm, 4cm, 6cm or 21 / 4cm, 21 / 4cm, 7 / 2cm