Can the sides of a triangle be 4.5 and 8 cm?

univerkov | March 2, 2021 | education

For a triangle with such parameters to exist, it is necessary that the triangle inequality holds for each of the three sides. Each side of a triangle is less than the sum of the other two sides.

Let us check the validity of the inequality for a triangle with sides: 4, 5 and 8.

4 <5 + 8 = 13 is a true inequality.

5 <4 + 8 = 12 – true.

8 <4 + 5 = 9 – true.

Conclusion: a triangle with sides of 4, 5 and 8 cm exists.

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