Problem 248. Napoleon's Theorem III. Area Inner and outer Napoleon triangles. Online High School,
College.
The figure shows a triangle ABC of
area S. If A1B1C1
is the
outer Napoleon triangle of area S1 and A2B2C2
is the
inner Napoleon triangle of area S2, prove that S = S1 -
S2.
View or post a solution.
See
also:
Problem 1205:
Triangle, Centroid, Outer and Inner Napoleon Equilateral Triangles.
Problem 246: Napoleon's Theorem I. External Equilateral triangles. Outer triangle
Problem 247: Napoleon's Theorem II. Internal Equilateral triangles. Inner triangle
iPad Apps: Apollonius: Napoleon's Theorem. External Equilateral Triangles.
Home |
Geometry |
Napoleon |
Problems |
241-250 |
Area
of a Triangle |
Email |
View or post a solution
|