Question

Centroid of triangle formed by points (a+b, a-b),(a-b, a+b)and (a,b)is:​

Answer 1

Step-by-step explanation:

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Answer 2

The centroid of the triangle is (a, (2a+b)/3).

Given,

A triangle is formed by three points (a+b, a-b), (a-b, a+b) and (a,b).

To Find,

The centroid of this triangle.

Solution,

The formula of the centroid of the triangle when three vertices of a triangle are given is

(x, y) = [(x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3]

where x₁, x₂, x₃, y₁, y₂, and y₃ are the given coordinates.

Now, substituting the values

Centroid = [(a+b+a-b+a)/3, (a-b+a+b+b)/3]

Centroid = [(3a/a, (2a+b)/3]

Centroi= (a, (2a+b)/3)

Hence, the centroid of the triangle is (a, (2a+b)/3).

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