The sides of an isosceles triangle are 5 cm and 10 cm. Which one is the base?

univerkov | April 19, 2021 | education

By the condition of the existence of a triangle, each of the sides of the triangle is less than the sum of its two other sides.

If the base of an isosceles triangle is 10 cm and the sides are 5 cm.

Then 10 = 5 + 5, which contradicts the condition for the existence of a triangle.

Let the base be 5 cm and the sides 10 cm.

10 <5 + 10

5 <10 + 10.

Then the base of an isosceles triangle is 5 cm.

Answer: The length of the base is 5 cm.

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