Question

Select all the conditions for which it is possible to construct a triangle.

A triangle with side lengths of 1 cm, 1 cm and 1cm
A triangle with side lengths 4 cm, 5 cm, and 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm
A triangle with side lengths 4 cm and 5 cm and 9 cm.
A triangle with side lengths of 3 cm, 3 cm and 5 cm

Answer 1

In order to construct a triangle, the sum of the two shortest sides must be greater than the length of the longest side. Using this rule, we can determine which of the given sets of side lengths can form a triangle.

Step-by-step explanation:

In order to construct a triangle, the sum of the two shortest sides must be greater than the length of the longest side. Using this rule, we can determine which of the given sets of side lengths can form a triangle:

• A triangle with side lengths of 1 cm, 1 cm, and 1 cm is possible because 1 + 1 > 1.
• A triangle with side lengths of 4 cm, 5 cm, and 6 cm is possible because 4 + 5 > 6.
• A triangle with side lengths of 4 cm, 5 cm, and 15 cm is not possible because 4 + 5 ≤ 15.
• A triangle with side lengths of 4 cm, 5 cm, and 9 cm is possible because 4 + 5 > 9.
• A triangle with side lengths of 3 cm, 3 cm, and 5 cm is possible because 3 + 3 > 5.