The centroid of a triangle formed by (-7,x) ; (2,-2) and (8,5) is at (1,3) then find value of x
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Answer:
(
3
7+q+9
,
3
p−6+10
)=(6,3)
⇒(p,q)=(5,2)
The vertices of a triangle are (7,p),(q,−6),(9,10).
Formula for centroid of a triangle:
(
3
x
1
+x
2
+x
3
,
3
y
1
+y
2
+y
3
)
Centroid of given triangle is
(
3
7+q+9
,
3
p−6+10
)
It is given that centroid of given triangle is (6,3).
(
3
7+q+9
,
3
p−6+10
)=(6,3)
On comparing both sides we get
The value of q is 2.
The value of p is 5.
Therefore, the value of p+q is 7
Step-by-step explanation:
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