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2019 MMATHS
2
2
Part of
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Problems
(1)
2019 MMATHS Tiebreaker p2 - tangential ABCD with 2 right angles
Source:
10/7/2023
In the trapezoid
A
B
C
D
ABCD
A
BC
D
, both
∠
B
\angle B
∠
B
and
∠
C
\angle C
∠
C
are right angles, and all four sides of the trapezoid are tangent to the same circle. If
A
B
‾
=
x
\overline{AB} = x
A
B
=
x
and
C
D
‾
=
y
\overline{CD} = y
C
D
=
y
, find the area of
A
B
C
D
ABCD
A
BC
D
(with proof).
MMATHS
geometry