Question

Could the side lengths [12.2 cm, 6.0 cm] and [4.2 cm] form a triangle?
1) True
2) False

Answer 1

To determine if the side lengths [12.2 cm, 6.0 cm] and [4.2 cm] can form a triangle, we can use the triangle inequality theorem. The sum of the two given lengths is greater than the length of the third side, so these side lengths can indeed form a triangle.

Step-by-step explanation:

To determine if the side lengths [12.2 cm, 6.0 cm] and [4.2 cm] can form a triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Let's check if this condition is satisfied:

1. The sum of the lengths 12.2 cm and 6.0 cm is 18.2 cm.
2. The length of the third side is 4.2 cm.

Since the sum of the two given lengths is greater than the length of the third side, these side lengths can indeed form a triangle. Therefore, the answer is True.