answersLogoWhite

0


Best Answer

A regular pentagon (one where all sides are equal and all central angles are equal) will not form five equilateral triangles (five triangles of equal side length).

The reason is if you make a point in the very centre of the pentagon and were to draw a line to each of the outside corners you would end up with five triangles, but if you look solely at the centre point you would see all of its surrounding sides have angles. This means that the sum of all those interior angles you just made would be 360 degrees (a full circle). Now if you divide that by the five segments you discover that each of the interior angles (the ones around the centre point) are actually 72 degrees.

Then using the knowledge that triangles have 180 degrees, you find that the other angles of your five triangle sections are actually 54 degrees.

An equilateral triangle would have all sides equal and all of its angles would be 60 degrees. This is not the case here and if you do some further math you discover that the outside sides of the pentagon are longer than the sides of your triangle segments as a result (they're actually an isosceles triangles).

If you can find the area of one triangle segment then you can get the area of the pentagon, this is just something to keep in mind when you're finding the area.

Hope that's alright, I literally just finished a question like this in my homework.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Does a pentagon make 5 equilateral triangles?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the area of an pentagon?

divide the pentagon into 5 equilateral triangles, and calculate their area. (base times height divided by 2) and when you have your answer, multiply it by 5.


JKLMN is a regular pentagon and the diagonal JL and JM are joined because of the symmetry of the pentagon all three triangles are isosceles and the left and right triangles are congruent calculate?

the all 5 sides of pentagon are identical , so all the sides are equal to each other now D is the point which is the center of the pentagon , so the bisector drawns of the angles are equal to each other therefore all the sides of the penagon are equal which says that the equilateral triangles has all the sides equal therefore the triangles are equilateral triangles


How do you make 5 triangles from a pentagon with 2 lines?

you can't


How many triangles are in a pentagon and how many sides?

A pentagon has 3 triangles and 5 sides


How many triangles does pentagon have?

5


How many triangles can be formed inside a hexagon?

5 equilateral triangles.


How many triangles can fit in a pentagon?

5


What is the area of a regular pentagon with a side length of ten units?

A regular pentagon has five (5) equilateral triangles within it. Find the area of each triangle (1/2bh where b is the base of the triangle or the length of a side of the pentagon, and h is the height of the triangle or the apothem of the pentagon) and multiply the area of the triangle times five (5).


How many triangles do you get with a 5-sided polygon?

There are 3 triangles inside a 5 sided pentagon polygon


What is a shape with 5 equal sides all the sides are triangles?

A pentagon


How do you make 5 triangles on a pentagon with 2 lines?

Select any vertex and draw 2 lines to the two opposite vertices.


What shape is formed using 5 congruent triangles and has 5 vertices 5 angles 5 sides?

pentagon