Question

6. Two vertices of a triangle are (1, 3) and (4,-5) and its centroid is (7,2). Find the

third vertex.

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Answer 1

Step-by-step explanation:

ANSWER

Let the coordinates of the third vertex be (x, y). Then,

3

x+3−7

=2and

3

y−5+4

=−1⇒x−4=6andy−1=−3

⇒x=10andy=−2

Thus,the coordinates of the third vertex are (10, -2).