Answer:
a triangle with the side measurements of 2, 3, and 5 inches
a triangle with the side measurements of 7, 8, and 16 inches
a triangle with the side measurements of 4, 4, and 8 inches
Explanation:
A triangle is a polygon shape with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angle triangle.
The triangle inequality theorem states that the sum of any two sides of a triangle is always greater than the third side.
For a triangle with the side measurements of 3, 4, and 6 inches:
3 + 4 > 6. This can be a triangle
For a triangle with the side measurements of 2, 3, and 5 inches:
2 + 3 is not greater than 5, hence it cannot be a triangle
For a triangle with the side measurements of 3, 3, and 4 inches:
3 + 3 > 4. This can be a triangle
For a triangle with the side measurements of 5, 5, and 5 inches
5 + 5 > 5. This can be a triangle
For a triangle with the side measurements of 4, 4, and 8 inches:
4 + 4 is not greater than 8, hence it cannot be a triangle
For a triangle with the side measurements of 7, 8, and 16 inches:
7 + 8 is not greater than 16, hence it cannot be a triangle