Question

Select all true statements for the triangle shown.

1) The triangle has three sides.
2) The triangle has four sides.
3) The triangle has five sides.
4) The triangle has six sides.

Answer 1

Only statement 1) "The triangle has three sides." is true about a triangle. Other statements that claim a triangle has four, five, or six sides are false, as those descriptions apply to quadrilaterals, pentagons, and hexagons respectively.

Step-by-step explanation:

When considering the properties of a triangle, one fundamental truth is that a triangle by definition has three sides. This is a geometric fact that is universally accepted in mathematics. Additionally, the internal angles of a triangle always add up to 180 degrees. Therefore, statement 1) "The triangle has three sides." is true, and it is the only true statement among the options provided.As for the other statements, they are factually incorrect when referring to a triangle:
- Statement 2) "The triangle has four sides." is false. A four-sided figure is known as a quadrilateral.
- Statement 3) "The triangle has five sides." is false. A five-sided figure is known as a pentagon.
- Statement 4) "The triangle has six sides." is false. A six-sided figure is known as a hexagon.