The perimeter of an isosceles triangle is 32cm, and one of its sides is 12cm. Find the lengths of the other two sides of the triangle.

The problem has two solutions.
Let’s consider the first solution.
Find one of the lateral sides of an isosceles triangle:
(32 – 12): 2 = 20: 2 = 10 (cm).
Let’s find the second side of this triangle:
As you know, in an isosceles triangle, the sides are equal, so the second side is also 10 cm.
Answer: 10 cm, 10 cm.

Let’s consider the second solution to the problem.
Find the second lateral side of the isosceles triangle:
We know that an isosceles triangle has equal sides, so the second side of this triangle is also 12 cm.
Find the base of an isosceles triangle:
32 – (12 + 12) = 32 – 24 = 8 (cm).
Answer: 8 cm and 12 cm.