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1998 Swedish Mathematical Competition
2
c >= (a+b) sin(C/2)
c >= (a+b) sin(C/2)
Source: 1998 Swedish Mathematical Competition p2
April 2, 2021
trigonometry
geometry
inequalities
Problem Statement
A
B
C
ABC
A
BC
is a triangle. Show that
c
≥
(
a
+
b
)
sin
C
2
c \ge (a+b) \sin \frac{C}{2}
c
≥
(
a
+
b
)
sin
2
C
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