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Byju's Answer
Standard VII
Mathematics
Classification of Triangles Based on Angles
Find the thir...
Question
Find the third vartex of a
△
A
B
C
if two of its vertices are
B
(
−
3
,
1
)
and
C
(
0
,
−
2
)
and its centroid is at the origin.
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Solution
Centriod coordinates are given by
(
x
1
+
x
2
+
x
3
3
,
y
1
+
y
2
+
y
3
3
)
As it is at origin
⇒
x
1
+
x
2
+
x
3
=
0
⇒
x
3
=
3
also
y
1
+
y
2
+
y
3
=
0
y
3
=
−
1
+
2
=
1
⇒
(
x
3
,
y
3
)
=
(
3
,
1
)
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Q.
Find the third vertex a ∆ABC if two of its vertices are B(−3, 1) and C(0, −2) and its centroid is at the origin.
Q.
Find the third vertex of a triangle, if two of its vertices are
(
−
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,
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)
,
(
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,
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)
and centroid is at the origin.
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