Question

If centroid of the triangle formed by 9,a b,-4 and 7,8 is 6,8 find a and b

Answer 1

Step-by-step explanation:

Given:

The co-ordinates of the centroid of the triangle (6,8)

And the co-ordinates of the three vertices of the triangle (9,a), (b,-4), and (7,8).

Required to find:

The value of a and b

Solution:

Since Centroid of the triangle is given by ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)

∴(x₁ + x₂ + x₃)/3 = 6

⇒(9 + b + 7)/3 = 6

⇒(9 + b + 7) = 18

⇒b +16 = 18

⇒b = 2

And,

(y₁ + y₂ + y₃)/3 = 8

⇒(a - 4 + 8)/3 = 8

⇒a + 4 = 24

⇒a = 20

∴ Value of a = 20 and b = 2

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Answer 2

Step-by-step explanation:

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