Two sides of a triangle are 10 cm and 15 cm. Determine the length of the third side from the given choices

20

1

2

3

20 cm

Using the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, 10 + 15 = 25, which is greater than the third side. Therefore, the third side must be less than 25 but greater than the difference of the other two sides.

So, the only option that fits is 20 cm.