Originally posted by fearlessleader
after reviewing the problum, i see that it is poorly stated.
it would better read: Given points A and B x units appart, find point C such that the mesure of line AC plus the mesure of line BC equals y units, and the mesure of angle ACB equals 90 degrees using only compas and strait edge.
Originally posted by fearlessleaderlanguage problem:
after reviewing the problum, i see that it is poorly stated.
it would better read: Given points A and B x units appart, find point C such that the mesure of line AC plus the mesure of line BC equals y units, and the mesure of angle ABC equals 90 degrees using only ruler and strait edge.
a ruler, is that an object with which you draw straight lines or an object with which you measure distances?
Set the compass' radius to the seperation of A and B.
Draw two circles, one centered on A, the other on B.
Use the ruler to draw a staight line between A and B.
Then draw a straight line between the two cross points of the two circles: Call this the 'midline'.
The two straight lines will form a cross exactly in the midpoint of the two points A and B: call this the 'cross point'
Set the compass' radius to the seperation of the crosspoint and either A or B.
Draw a smaller circle centered on the cross point.
The point at which this smaller circle cuts the midline on either side will give you the two solution points.
Originally posted by Toeincorrect.
Set the compass' radius to the seperation of A and B.
Draw two circles, one centered on A, the other on B.
Use the ruler to draw a staight line between A and B.
Then draw a straight line between the two cross points of the two circles: Call this the 'midline'.
The two straight lines will form a cross exactly in the midpoint of the two points A and B: call ...[text shortened]... which this smaller circle cuts the midline on either side will give you the two solution points.
hint: there are either 4 or 0 solution points for a given X:Y ratio