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Vietnam Contests
Vietnam National Olympiad
1963 Vietnam National Olympiad
5
5
Part of
1963 Vietnam National Olympiad
Problems
(1)
Find the side length and the area
Source: Vietnam NMO 1963 Problem 5
2/2/2009
The triangle
A
B
C
ABC
A
BC
has semiperimeter
p
p
p
. Find the side length
B
C
BC
BC
and the area
S
S
S
in terms of
∠
A
\angle A
∠
A
,
∠
B
\angle B
∠
B
and
p
p
p
. In particular, find
S
S
S
if
p
≈
23.6
p \approx 23.6
p
≈
23.6
,
∠
A
≈
5
2
∘
4
2
′
\angle A \approx 52^{\circ}42'
∠
A
≈
5
2
∘
4
2
′
,
∠
B
≈
4
6
∘
1
6
′
\angle B \approx 46^{\circ}16'
∠
B
≈
4
6
∘
1
6
′
.
geometry
trigonometry
geometry unsolved