### Instruction: Two sides of an isosceles triangle are 15 cm and 10 cm. What is the greatest possible perimeter of this triangle, in centimeters?### Response: An isosceles triangle has two sides of equal length, so the third side of this triangle must be either 15 cm or 10 cm.
The perimeter of a triangle is the sum of the lengths of its sides, so the possible perimeters are 15 + 10 + 15 = 40 cm or 15 + 10 + 10 = 35 cm.
The greatest possible perimeter is 40 cm.