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Portugal MO
2017 Portugal MO
5
5
Part of
2017 Portugal MO
Problems
(1)
computational with a tangential quadrilateral
Source: 2017 Portugal p5
10/11/2020
Let
[
A
B
C
D
]
[ABCD]
[
A
BC
D
]
be a convex quadrilateral with
A
B
=
2
,
B
C
=
3
,
C
D
=
7
AB = 2, BC = 3, CD = 7
A
B
=
2
,
BC
=
3
,
C
D
=
7
and
∠
B
=
9
0
o
\angle B = 90^o
∠
B
=
9
0
o
, for which there is a inscribed circle. Determine the radius of this circle. https://1.bp.blogspot.com/-sDKOdmceJlY/X4KaJxi8AoI/AAAAAAAAMk8/7UkTzaWqQSkdqb0N_-r0CZZjD-OGZknSACLcBGAsYHQ/s260/2017%2Bportugal%2Bp5.png
geometry
quadrilateral