Question

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 .

Answer 1

A triangle with side lengths 4 cm, 5 cm, and 15 cm

Explanation:

In order to form a triangle with given side lengths, sum of any two sides must always be greater than the third side.

`4+5= 9\\gtr 15\\`