1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Area of a Triangle Given Its Vertices
Find the area...
Question
Find the area of the triangle whose vertices are
(
3
,
2
)
,
(
−
2
,
−
3
)
and
(
2
,
3
)
.
A
8
sq.unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
7
sq.unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6
sq.unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5
sq.unit
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
5
sq.unit
Area
of a triangle with vertices
(
x
1
,
y
1
)
;
(
x
2
,
y
2
)
a
nd
(
x
3
,
y
3
)
=
∣
∣
∣
x
1
(
y
2
−
y
3
)
+
x
2
(
y
3
−
y
1
)
+
x
3
(
y
1
−
y
2
)
2
∣
∣
∣
Hence, substituting the points
(
x
1
,
y
1
)
=
(
3
,
2
)
;
(
x
2
,
y
2
)
=
(
−
2
,
−
3
)
and
(
x
3
,
y
3
)
=
(
2
,
3
)
in the area formula, we get
Area =
∣
∣
∣
3
(
−
3
−
3
)
+
(
−
2
)
(
3
−
2
)
+
2
(
2
−
(
−
3
)
)
2
∣
∣
∣
=
5
sq. unit
Suggest Corrections
0
Similar questions
Q.
The area of triangle whose vertices are
A
(
−
3
,
−
1
)
,
B
(
5
,
3
)
and
C
(
2
,
−
8
)
is ____
sq. units
.
Q.
Find the area bounded by the curves
y
=
−
2
x
2
and
y
=
2
x
2
−
1
Q.
The area of the triangle formed by
^
i
+
2
^
j
and
3
^
i
+
^
j
is
Q.
If the area(in
sq.units
) of triangle whose vertices are
(
2
,
1
,
3
)
,
(
a
,
0
,
2
)
and
(
−
3
,
−
1
,
0
)
is
√
14
2
.
Then the integral value of
a
=
Q.
If
(
−
4
,
0
)
and
(
1
,
−
1
)
are two vertices of a triangle whose area is
4
sq.units
, then locus of centroid of the triangle is
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Area from Coordinates
MATHEMATICS
Watch in App
Explore more
Area of a Triangle Given Its Vertices
Standard X Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app