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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?

User Jordan Lev
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2 Answers

6 votes

Answer:

your answer is no

Explanation:

khan

User Giles Thomas
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4 votes

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.

User Piero Macaluso
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