

Isosceles triangle given base and altitude
Geometry construction using a compass and straightedge
How to draw an
isosceles triangle
given the
base
and
altitude
with compass and straightedge or ruler. The base is the unequal side of the triangle and the altitude is the perpendicular height from the base to the apex. It works by first
copying the base segment,
then
constructing its perpendicular bisector. The apex is then marked up from the base.
Printable stepbystep instructions
The above animation is available as a
printable stepbystep instruction sheet, which can be used for making handouts
or when a computer is not available.
Proof
The image below is the final drawing from the above animation.
 Q.E.D
Try it yourself
Click here for a printable isosceles construction worksheet containing two problems to try.
When you get to the page, use the browser print command to print as many as you wish. The printed output is not copyright.
Other constructions pages on this site
Lines
Angles
Triangles
Right triangles
Triangle Centers
Circles, Arcs and Ellipses
Polygons
NonEuclidean constructions
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