In an isosceles triangle, one side is 25 cm and the other side is 10 cm. Which of them is the base

In an isosceles triangle, one side is 25 cm and the other side is 10 cm. Which of them is the base and which is the side? Why?

From the condition, we know that in an isosceles triangle, one side is 25 cm, and the other is 10 cm. In order to find which side is the basis, we recall the conditions under which the triangle can exist.

So, a triangle exists if the sum of the lengths of the two sides of the triangle is always greater than the third.

Let’s check it out.

If the base is 25 cm, then the sides are 10 cm.

10 + 10 <25 (condition is not met).

If the base is 10 cm, and the sides are 25 cm, then

25 + 25> 10;

10 + 25> 25, the condition is met.

Answer: the base is 10 cm; lateral side 25 cm.