Notice that the reason that we open the compass to a distance bigger or smaller than the length of segment AB is because we do not want the length of segment AB to equal the lengths of the two equal sides.
This construction is also straightforward and easy to do. The length of segment AB that you see above will be used for the two equal sides. In an isosceles triangle, the base angles are equal. The apex angle is the angle that is not equal to the base angles.
Here are the steps to follow to construct this isosceles triangle using the length of segment AB and the apex angle.
Step #1:
Using a straightedge, extend the sides of the apex angle so we can easily copy the length of segment AB.
Step #2:
Using your compass, measure the length of segment AB. Then, keeping the opening of the compass the same, put the needle of the compass at the green dot or point B and draw arcs that intersect both sides of the angle. Call these points of intersection A and C.
Step #3:
Using your straightedge, draw a segment between A and C. Triangle ABC is an isosceles triangle!
May 05, 21 01:08 PM
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