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7
Geo
Geo
Source:
January 27, 2006
trigonometry
Pythagorean Theorem
geometry
power of a point
Problem Statement
Triangle
A
B
C
ABC
A
BC
is right angled at
A
A
A
. The circle with center
A
A
A
and radius
A
B
AB
A
B
cuts
B
C
BC
BC
and
A
C
AC
A
C
internally at
D
D
D
and
E
E
E
respectively. If
B
D
=
20
BD = 20
B
D
=
20
and
D
C
=
16
DC = 16
D
C
=
16
, determine
A
C
2
AC^2
A
C
2
.
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