Find the third side of an isosceles triangle if its two sides are 12cm and 6cm.

Option number 1.

Let’s hypothesize that the side of the triangle is 6 cm and the base is 12 cm.

Let’s check this based on one of the basic rules of triangles:

6 – 6 <12;

6 + 6 = 12 (this should not be, the sum of the two sides must be greater than the third).

Option number 2.

Now let the base be 6 and the sides 12.

Let’s check:

12 – 12 <6;

12 + 12> 6;

12 – 6 <12;

12 + 6> 12.

That is, such a triangle is the only one possible under such conditions.

Answer: The length of the desired side is 12 cm.