## How do you divide a Pentagon in 4 equal parts?

If we divide a pentagon into triangles as in the figure on the left below, the pentagon is made up of 3 triangles, so the angle sum is 180 + 180 + 180 = 3*180 = 540 degrees. However, the non-convex pentagon on the right is a trickier case….Angles in Isosceles Triangles.

a | b |
---|---|

36 | |

72 |

**How do you divide in 4 parts?**

There is a trick you can use to divide by 4: the rule is to divide by 2 twice. For example, if you want to divide 12 by 4, you simply divide 12 by 2, which gives you 6, and then divide that number by 2, which, in this case, gives you 3. Easy!

### Is a pentagon made up of 5 equilateral triangles?

A regular pentagon with an equilateral triangle removed To find the area of a complete regular pentagon: The pentagon is divided into five identical isosceles triangles. Each triangle has one angle that is 360° ÷ 5 = 72° and two equal angles ( in the diagram).

**What do you call 4 equal parts?**

When we divide a whole or a group into four equal parts, each part is called as one fourth of the whole or the group. We express one fourth by the symbol ¼ For example, suppose the pizza is cut into four equal parts. Each part is one-fourth or one-quarter of the pizza.

#### How to divide a polygon into smaller polygons?

We use the divide and conquer methodology: 1 Calculate the area of the polygon, say A p o l y. 2 Split the polygon into two sub-polygons – smaller one with area of A p o l y N, and bigger one with area of ( N − 1) N A 3 Continue using the same approach on the bigger polygon till the bigger polygon reduces into polygon with desired area.

**How many cuts are there in a 4 sided polygon?**

Since the cut is a line, it would start from one edge and end at another. There are six possible edge pairs ( 4 C 2) in a 4-sided polygon, that could lead to a potential cut. Three of these cuts – c 1, c 2, c 3 are shown in the images below as a reference. We can select the minimum cut from the all potential cuts obtained from each edge pair.

## How to split a polygon by the target area?

Since the target area is A p o l y N, and the interpolated point will be A + A p o l y N ∗ A A G B ( G − A) If the minimum cut lies in the trapezoid, then the two points of the split line (shown in red) can be found via linear interpolation based on the target area, similar to the approach we took for the triangle case above.