Question

1. how many non - overlapping triangles can this figure be divided into?

the figure is a pentagon labeled with vertices a, b, c, d, e.
options: 0, 2, 3, 4

Explanation:

Step1: Identify the polygon type

The figure is a pentagon (5 - sided polygon).

Step2: Recall the formula for non - overlapping triangles in a polygon

For a convex polygon with \(n\) sides, the number of non - overlapping triangles it can be divided into is \(n - 2\).

Step3: Calculate the number of triangles

Here, \(n=5\) (since it's a pentagon). So the number of non - overlapping triangles is \(n - 2=5 - 2 = 3\).

Answer:

3 (corresponding to the option with value 3)