10. Name the two conditions in order for a polygon to be a regular polygon.

In this exercise you are to find the area of a triangle in R³ in 4 ways, given the points A, B, and C. Plot the points A= (0,2,6), B= (8,2,2), and C= (5,6,4) in Geogebra and 1) Use the polygon command: Polygon(A,B,C) --this will give the lengths of the 3 segments of the triangle and then give the area of this triangle 2) Using Heron's Formula: A = √s (s − a) (s — b) (sc) where s = — a+b+c 2 and the sides of the triangle are a, b, c (these are given in the Polygon command in step 1) → → 3) Find the vector from point to A to B and the vector from A to C, i.e. find AB and AC and compute the value A = |AB & AC| 4) Find point D where D is a point on AB where AD 1 CD. Then compute A = |AB||CD|

Whats the answer

10 A polygon is equilateral, equiangular, and convex.