Select the condition for which it is NOT possible to construct a triangle. 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 an included 50°angle A triangle with angle measures 30° and 60°, and an included 3 cm side length.

Question

Duckling

Mathematics

3 June, 16:48

Select the condition for which it is NOT possible to construct a triangle. 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 an included 50°angle A triangle with angle measures 30° and 60°, and an included 3 cm side length.

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Answers (1)

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Gordon Potter · Answer 1

Option B: A triangle with side lengths 4 cm, 5 cm, and 15 cm

Step-by-step explanation:

Since we are dealing here majorly with sides, one condition is that each side has to be shorter than the sum of the other two sides and longer than their difference meaning that if we have a, b and c

The a value has to be shorter than the sum of b and c - a b-c

In this example, we have side lengths 4 cm, 5 cm, and 15 cm. Taking a, b and c as 4 cm, 5 cm, and 15 cm respectively.

The sum of 5 and 4 is 9 and the third side 15 is greater than 9 when it is supposed to be less to construct a triangle.