# In an isosceles triangle, one side is 36 cm and the other 18 cm. What is the base of the triangle?

August 24, 2021 | education

| From the condition, we know that in an isosceles triangle, one side is 36 cm, and the other is 18 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 36 cm, then the sides are 18 cm.

18 + 18 = 36 (condition is not met).

If the base is 18 cm, and the sides are 36 cm, then

36 + 36> 18;

18 + 36> 36, the condition is met.

Answer: the base is 18 cm; lateral side 36 cm.

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