Could 4.1/text{ cm}, 8.4/text{ cm},4.1 cm, 8.4 cm, and 1.3/text{ cm}1.3 cm be the side lengths of a triangle?

Question

Mathematics

Mireya Dunn

3 January, 15:35

Could 4.1/text{ cm}, 8.4/text{ cm},4.1 cm, 8.4 cm, and 1.3/text{ cm}1.3 cm be the side lengths of a triangle?

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Answers (2)

Know the Answer?

Adriel Brown · Answer 1

No

Step-by-step explanation:

Khan academy

Mario Morgan · Answer 2

The triangle inequality says that, given a triangle, the sum of the lengths its two smaller sides must be at least the length of the largest side. Looks like we have a triangle whose sides measure 1.3 cm, 4.1 cm, and 8.4 cm. The two smaller sides are 1.3 cm and 4.1 cm, which add to 5.4 cm, but 5.4 is smaller than 8.4.

So no, these sides can't compose a triangle.