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Mathematics
Mathematics
Problem
Two vertical poles
A
P
AP
A
P
and
B
Q
BQ
B
Q
, each
5
m
5\,\text{m}
5
m
high, stand on level ground with
P
Q
=
12
m
PQ = 12\,\text{m}
P
Q
=
12
m
. A cable of length
13
m
13\,\text{m}
13
m
joins
A
A
A
to
Q
Q
Q
, and another cable of the same length joins
B
B
B
to
P
P
P
. Prove that
△
A
P
Q
\triangle APQ
△
A
P
Q
is congruent to
△
B
Q
P
\triangle BQP
△
B
QP
.
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