Question

three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?

Answer 1

Given:

Three line segments have measures of 4 units, 6 units, and 8 units.

To find:

Will the segments form a triangle?

Solution:

We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.

Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.

The sum of two smaller sides is

$4+6=10$

$4+6>8$

Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.