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Portugal MO
1996 Portugal MO
1
1
Part of
1996 Portugal MO
Problems
(1)
45^o wanted, square on hypotenuse of a right triangle 1996 Portugal p1
Source:
10/11/2020
Consider a square on the hypotenuse of a right triangle
[
A
B
C
]
[ABC]
[
A
BC
]
(right at
B
B
B
). Prove that the line segment that joins vertex
B
B
B
with the center of the square makes
4
5
o
45^o
4
5
o
angles with legs of the triangle.
geometry
square
right triangle