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Byju's Answer
Standard X
Mathematics
Area of a Triangle Given Its Vertices
Prove that ar...
Question
Prove that area if triangle
A
B
C
with vertices
A
(
3
,
2
)
,
B
(
11
,
8
)
,
C
(
8
,
12
)
is
25
square units.
Open in App
Solution
Given that,
A
=
(
3
,
2
)
B
=
(
11
,
8
)
C
=
(
8
,
12
)
A
r
e
a
(
△
A
B
C
)
=
1
2
|
x
1
(
y
2
−
y
3
)
+
x
2
(
y
3
−
y
1
)
+
x
3
(
y
1
−
y
2
)
|
=
1
2
|
3
(
8
−
12
)
+
11
(
12
−
2
)
+
8
(
2
−
8
)
|
=
1
2
|
3
(
−
4
)
+
11
(
10
)
+
8
(
−
6
)
|
=
1
2
|
−
12
+
110
−
48
|
=
1
2
(
50
)
=
25
Sq.units
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Q.
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