what is the length of the base of the larger triangle? write an expression for the area of this triangle?
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Answer:
Let the length of the base is
x
,so height will be
x
−
8
so,area of the triangle is
1
2
x
(
x
−
8
)
=
24
or,
x
2
−
8
x
−
48
=
0
or,
x
2
−
12
x
+
4
x
−
48
=
0
or,
x
(
x
−
12
)
+
4
(
x
−
12
)
=
0
or,
(
x
−
12
)
(
x
+
4
)
=
0
so,either
x
=
12
or
x
=
−
4
but length of triangle can't be negative,so here length of the base is
12
cm
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