Problema Solution
The regular octagon has one vertex at (15,0) and center at the origin (0,0). Find the coordinates of the other seven vertices.
Answer provided by our tutors
Make a good drawing.
if the coordinates of one vertex are (15, 0) then the coordinates of the 3 other vertices are:
(0, 15), (-15, 0), (0, -15)
using trigonometry we find the coordinates of the other 4 vertices:
(15 cos(45), 15sin(45)) = (15(√2/2), 15(√2/2))
(-15(√2/2), 15(√2/2))
(-15(√2/2), - 15(√2/2))
(15(√2/2), 15(√2/2))