Question

The segments shown below could form a triangle?

Answer 1

Option B; False

Explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

`| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False`

These segments could not form a triangle