A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

How many triangles in a pentagon?

Best Answers

A pentagon has five sides, with three interior triangles; 5 - 2 = 3. However, if every vertex is connected to every other vertex and the triangles formed by the intersection of the diagonals are also counted, a total of 31 triangles can be formed. read more

Figure of pentagon is shown below in which we have to find how many Triangles in a pentagon exist. Counting the triangles in above pentagon is the simplest way to find total number of triangles. In above figure all possible diagonals have been drawn which generate five triangles. read more

Lets count the number of triangles where side of the pentagon is one of the side of the triangle, for each one such side there are 6 triangles. but two of triangle has other side of the pentagon, those will be counted twice so we will count only one triangle for each side, so for five sides, total 5*5 = 25 such triangles. read more

Related Facts

Related Types

Image Answers