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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
and
△
D
E
F
\triangle DEF
△
D
E
F
, it is given that
∠
A
=
∠
D
\angle A = \angle D
∠
A
=
∠
D
,
A
B
=
2
x
+
1
cm
AB = 2x + 1\,\text{cm}
A
B
=
2
x
+
1
cm
,
D
E
=
15
cm
DE = 15\,\text{cm}
D
E
=
15
cm
,
A
C
=
19
cm
AC = 19\,\text{cm}
A
C
=
19
cm
, and
D
F
=
19
cm
DF = 19\,\text{cm}
D
F
=
19
cm
. If the two triangles are congruent, determine the value of
x
x
x
.
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