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Mathematics
Mathematics
Problem
In a
Δ
A
B
C
\Delta ABC
Δ
A
B
C
with vertices
A
(
1
,
2
)
A(1, 2)
A
(
1
,
2
)
,
B
(
2
,
3
)
B(2, 3)
B
(
2
,
3
)
and
C
(
3
,
1
)
C(3, 1)
C
(
3
,
1
)
and
∠
A
=
∠
B
=
cos
−
1
(
1
10
)
\angle A = \angle B = \cos^{-1}\left(\frac{1}{\sqrt{10}}\right)
∠
A
=
∠
B
=
cos
−
1
(
10
1
)
,
∠
C
=
cos
−
1
(
4
5
)
\angle C = \cos^{-1}\left(\frac{4}{5}\right)
∠
C
=
cos
−
1
(
5
4
)
, then find the circumcentre of
Δ
A
B
C
\Delta ABC
Δ
A
B
C
.
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