Question

In triangle ABC, B(2,3),C(-2,6) and perimeter is 14 units then locus of centroid of triangle ABC is​

Answer 1

In triangle abc ,b+2,3),c(-2,6) and perimeter is 14 until then locus of centroid of triangle abc is 4051831

Answer 2

Step-by-step explanation:

• Let the coordinates of the vertex be (m,n) and centroid be (h,k).
• So there is a triangle A(m,n), B(2,3),C(-2,6)
•         Therefore h = m + n – 2 /3
•                         So m = 3h        
•                     So k = n + 3 + 6 /3
•                         So n = 3k – 9
• Now base BC = √16 – 9
•                         = √25
•                             = 5
• So AC = √(3h + 2)^2 + (3k – 9 – 6)^2
•             = √(3h + 2)^2 + (3k – 15)^2
• So AB = √(3h – 2)^2 + (3k – 9 – 3)^2
•            = √(3h – 2)^2 + (3k – 2)^2 + (3k – 12)^2
• Perimeter = 14
• Therefore perimeter  AB + BC + AC = 14
• AB + AC = 9
•  So this represents an ellipse.

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https://brainly.in/question/52559967