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VTRMC
2017 VTRMC
4
4
Part of
2017 VTRMC
Problems
(1)
2017 VTRMC #4
Source:
8/8/2018
Let
P
P
P
be an interior point of a triangle of area
T
T
T
. Through the point
P
P
P
, draw lines parallel to the three sides, partitioning the triangle into three triangles and three parallelograms. Let
a
a
a
,
b
b
b
and
c
c
c
be the areas of the three triangles. Prove that
T
=
a
+
b
+
c
\sqrt { T } = \sqrt { a } + \sqrt { b } + \sqrt { c }
T
=
a
+
b
+
c
.
geometry