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Putnam
1986 Putnam
B1
B1
Part of
1986 Putnam
Problems
(1)
Putnam 1986 B1
Source:
8/5/2019
Inscribe a rectangle of base
b
b
b
and height
h
h
h
in a circle of radius one, and inscribe an isosceles triangle in the region of the circle cut off by one base of the rectangle (with that side as the base of the triangle). For what value of
h
h
h
do the rectangle and triangle have the same area?
Putnam