The coordinates of vertices X and Y of an equilateral triangle XYZ are (-4,0) and (4,0) respectively. find the coordinates of Z (simplify the radical)
2007-10-21 02:23:03 · 2 answers · asked by za z 1 in Education & Reference ➔ Homework Help
An equilateral triangle is a triangle with three sides of equal length.
Coordinates (-4,0) and (4,0) are 8 unites apart, which means each side is 8 units long, and half of one side is 4 units. The Pythagorean Theorem comes in to play here.
One side of the smaller triangle is 4 units and the other side is 8.
The square root of (8^2 minus 4^2) will leave you with the length from the origin of the third point, which is 6.92820323.
The third point can either be at (0,6.92820323) or (0,-6.92820323).
2007-10-21 02:32:48 · answer #1 · answered by Jean-Francois 5 · 0⤊ 0⤋
I stink at this stuff and no help from me.
If you need help on invetments contact me any time.
Mc
2007-10-21 10:05:16 · answer #2 · answered by Michael M 7 · 0⤊ 1⤋