Question

Select all the conditions for which it is possible to construct a triangle. A triangle with side lengths 4 cm, 5 cm, and 15 cm A triangle with side lengths 5 cm, 5 cm. and 10 cm. A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.​

Answer 1

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Answer:

• A triangle with side lengths 3 cm. 5 cm. and 7 cm
• A triangle with side lengths 4 cm, 5 cm. and 6 cm.​

Explanation:

The sum of the short two sides must exceed the length of the longest side. That is not the case for lengths {4, 5, 15} or {5, 5, 10}.

Triangles can be formed from {3, 5, 7} and {4, 5, 6}.