The perimeter of an isosceles triangle is 50cm, and one of its sides is 10cm. Find the length of the other sides of the triangle.

Consider the case when the known length is the base.

Then the length of each of the remaining sides of the figure will be equal to:

(50 – 10): 2 = 20.

Let’s check the existence of such a triangle:

20 – 20 <10;

20 + 20> 10;

20 – 10 <20;

20 + 10> 20.

Exists.

The variant when the known side is side. Then the second side is also 10 cm.

Then the length of the base will be equal to:

50 – 10 * 2 = 30.

Let’s check the existence of such a triangle:

10 + 10 <30 (no such triangle exists)

Answer: 20 cm and 20 cm.