Question

determine whether the three side lengths form a triangle 6cm 8cm 10cm

Answer 1

To determine whether three side lengths can form a triangle, you can use the triangle inequality theorem. This theorem states that for any triangle with side lengths \(a\), \(b\), and \(c\):

1. \(a + b > c\)
2. \(a + c > b\)
3. \(b + c > a\)

For the given lengths 6 cm, 8 cm, and 10 cm, let’s assign:

- \(a = 6\) cm
- \(b = 8\) cm
- \(c = 10\) cm

Now, we can check each condition:

1. \(a + b = 6 + 8 = 14 > 10\) (True)
2. \(a + c = 6 + 10 = 16 > 8\) (True)
3. \(b + c = 8 + 10 = 18 > 6\) (True)

Since all three conditions are satisfied, the side lengths 6 cm, 8 cm, and 10 cm can indeed form a triangle.