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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
∠
B
=
90
∘
\angle B = 90^{\circ}
∠
B
=
9
0
∘
and
A
C
=
x
+
7
AC = x + 7
A
C
=
x
+
7
cm. In
△
D
E
F
\triangle DEF
△
D
E
F
,
∠
E
=
90
∘
\angle E = 90^{\circ}
∠
E
=
9
0
∘
and
D
F
=
15
DF = 15
D
F
=
15
cm. It is also given that
A
B
=
D
E
=
12
AB = DE = 12
A
B
=
D
E
=
12
cm and
B
C
=
E
F
=
9
BC = EF = 9
B
C
=
E
F
=
9
cm. If the two triangles are congruent, what is the value of
x
x
x
? a)
9
9
9
b)
8
8
8
c)
6
6
6
d)
7
7
7
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