Question

question 19 of 27
if you draw all of the diagonals from one vertex of a regular octagon, how many triangles do you make?

a. 6

b. 8

c. 4

d. 5

Explanation:

Step1: Recall the formula for triangles from a vertex

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

Step2: Identify \( n \) for an octagon

A regular octagon has \( n = 8 \) sides.

Step3: Calculate the number of triangles

Using the formula \( n - 2 \), substitute \( n = 8 \): \( 8 - 2 = 6 \).

Answer:

A. 6