Question

Is it possible to draw a triangle, the lengths of whose sides are 2 cm, 3 cm, 4 cm. a. Yes b. No

Answer 1

Yes, it is possible to draw a triangle with side lengths of 2 cm, 3 cm, and 4 cm.

Step-by-step explanation:

Yes, it is possible to draw a triangle with side lengths of 2 cm, 3 cm, and 4 cm. To determine if the given side lengths form a valid triangle, we can apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we have:

1. 2 cm + 3 cm = 5 cm > 4 cm
2. 3 cm + 4 cm = 7 cm > 2 cm
3. 4 cm + 2 cm = 6 cm > 3 cm

Since all three inequalities hold true, we can conclude that a triangle can be drawn with side lengths of 2 cm, 3 cm, and 4 cm.

Learn more about Triangle inequality theorem