Question

question 9 of 10 a pentagon can be divided into how many triangles by drawing all of the diagonals from one vertex? a. 4 b. 3 c. 5 d. 2

Explanation:

Step1: Recall polygon - triangle relation

For an \(n\) - sided polygon, the number of triangles formed by drawing diagonals from one vertex is \(n - 2\).

Step2: Identify \(n\) for a pentagon

A pentagon has \(n=5\) sides.

Step3: Calculate the number of triangles

Substitute \(n = 5\) into the formula \(n - 2\), we get \(5-2=3\).

Answer:

B. 3