Pls give step by step explanation
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ANSWER. (–4, –6)
Step by step explanation.
Let the given points be A(3,1) and B(1,5).
It is given that centroid is origin so points of centroid are(0,0), Let it be O(0,0).
And let the vertex be C(x,y). which we have to find.
NOW,
BY CENTROID FORMULA,
O(0,0)= (x1+x2+x3/3, y1+y2+y3/3)
O(0,0)= (3+1+x3/3, 1+5+y3/3)
O(0,0)= (4+x3/3, 6+y3/3)
0= 4+x3/3
0=4+x3
x3=–4.
And,
0 = 6+y3/3
0= 6+y3
y3= –6
So the third vertex are= C(–4, –6)
I hope you get your answer.
Step by step explanation.
Let the given points be A(3,1) and B(1,5).
It is given that centroid is origin so points of centroid are(0,0), Let it be O(0,0).
And let the vertex be C(x,y). which we have to find.
NOW,
BY CENTROID FORMULA,
O(0,0)= (x1+x2+x3/3, y1+y2+y3/3)
O(0,0)= (3+1+x3/3, 1+5+y3/3)
O(0,0)= (4+x3/3, 6+y3/3)
0= 4+x3/3
0=4+x3
x3=–4.
And,
0 = 6+y3/3
0= 6+y3
y3= –6
So the third vertex are= C(–4, –6)
I hope you get your answer.
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