In this page centroid of triangle question5 we are going to see solution of first question of the quiz.

Definition of centroid:

The simple definition for centroid of a triangle is, the point of concurrency of the medians.

In the above triangle , AD, BE and CF are called medians. All the
three medians AD, BE and CF are intersecting at G. So G is called
centroid of the triangle

**Question 1 :**

**Find the centroid ****of triangle whose vertices are (1,10) (-7,2) and (-3,7).**

**Question 2 :**

**Find the centroid ****of triangle whose vertices are (-1,-3) (2,1) and (2,-4).**

**Question 3 :**

**Find the centroid ****of triangle whose vertices are (1,1) (2,3) and (-2,2).**

**Question 4 :**

**Find the centroid ****of triangle whose vertices are (1,1) (2,3) and (-2,2).**

**Question 5 :**

**Find the centroid ****of triangle whose vertices are ****(6,7) (2,-9) and (-4,1).**

**Solution:**

Let the vertices be A (6,7) B (2,-9) and C (-4,1)

x₁ = 6 x₂ = 2 x₃ = -4

y₁ = 7 y₂ = -9 y₃ = 1

Formula:

**Centroid of a triangle = (x****₁+x****₂+x****₃)/3, (y****₁+y****₂+y****₃)/3**

= [ 6 + 2 + (-4) ] / 3 , [ 7 + (-9) + 1 ] / 3

= (8 - 4)/3 , (8 - 9)/3

= (4/3 , -1/3)

= **(4/3,-1/3)**

**Question 6 :**

**Find the centroid ****of triangle whose vertices are ****(3,4) (2,-1) and (4,-6).**

**Question 7 :**

**Find the centroid ****of triangle whose vertices are **** (5,6) (2,4) and (1,-3).**

**Question 8 :**

**Find the centroid ****of triangle whose vertices are **** ****(1,3) (-7,6) and (5,-1).**

**Question 9 :**

**Find the centroid ****of triangle whose vertices are **** ****(1,1) (3,4) and (5,-2). ** centroid of triangle question5

**Question 10 :**

**Find the centroid ****of triangle whose vertices are **** ****(-3,-9) (-1,6) and (3,9).**

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