Question

What are the coordinates of the centroid of a triangle with vertices at D (0, 0), E (–8, 0), and F (–7, – 6)? ANSWERS: A) (–5, –2) B) (2, 5) C) (–2, –5) D) (5, 2)

Answer 1

(-5,-2)

Explanation:

I took the exam and got the question correct :)

Answer 2

A) ( -5 , -2)

Centro-id of a triangle = ( -5 , -2)

Step-by-step explanation:

Given the vertices at D (0, 0), E (–8, 0), and F (–7, – 6)

Centro-id of triangle

=
`((x_(1) + x_(2) + x_(3) )/(3) ,(y_(1)+y_(2) +y_(3) )/(3) )`

=
`((0-8-7 )/(3) ,(0+0-6 )/(3) )`

=
`((-15)/(3) ,(-6)/(3) )`

= ( -5 , -2)

Final answer:-

Centro-id of a triangle = ( -5 , -2)