[An isosceles triangle has two sides that are the same length. The third side is called the base.
The apex of an isosceles triangle is always exactly the same distance from the other two corners.
A line constructed at 90 degrees to the baseline through the midpoint of the base will pass through all possible solutions for isosceles triangles with that specific base.
The midpoint of any line is simply the average of the endpoint coordinates.
The Pythagorean Theorem relates the side lengths of right triangles. An isosceles triangle can be thought of as a right triangle joined with its mirror image along the midpoint bisector line.
All calculations should be done in Universal Transverse Mercator meters. Use (visit link
) to transform coordinates between LatLon and UTM meters. (If that does not work, try using your GPS as a calculator by switching your GPS between decimal minutes and UTM. Create a waypoint in one system, then change the system and view the waypoint details in the other system. Very clunky, but it does the job.)
Ignore the Earth's curvature for distances this close.
The slope of a line is M=(Y1-Y2)/(X1-X2)
The equation of a line is Y=Slope * X + Intercept
To solve for an intercept, rewrite the line equation with only Y on one side of the equals sign and substitute the value of the slope and the X and Y of a point known to lie on the line.
Given a line of slope M, the slope of any line perpendicular to that line is -1/M]