UNO High School Problem of the Week Competition
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Problem 15
In the triangle
ABC
, side
AB
= 13, side
BC
= 12, and side
AC
= 5. Point
K
lies on
AC
, with
KL
perpindicular to
AB
, and point
N
lies on
BC
, with
NM
perpindicular to
AB
. Both points
L
and
M
lie on
AB
.
Segments
KC
and
CN
are both 4 units.
What is the area of the pentagon
CKLMN
?
Solution
