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Switzerland Contests
Switzerland Team Selection Test
1998 Switzerland Team Selection Test
3
3
Part of
1998 Switzerland Team Selection Test
Problems
(1)
f(x) = \sqrt{a^2 +x^2} +\sqrt{(b-x)^2 +c^2} , min
Source: Switzerland - Swiss TST 1998 p3
2/19/2020
Given positive numbers
a
,
b
,
c
a,b,c
a
,
b
,
c
, find the minimum of the function
f
(
x
)
=
a
2
+
x
2
+
(
b
−
x
)
2
+
c
2
f(x) = \sqrt{a^2 +x^2} +\sqrt{(b-x)^2 +c^2}
f
(
x
)
=
a
2
+
x
2
+
(
b
−
x
)
2
+
c
2
.
function
min
algebra