Question

A(h, –6), B(2, 3) and C(–6, k) are the co-ordinates of vertices of a triangle

whose centroid is G (1, 5). Find h.​

Answer 1

Step-by-step explanation:

homogeneous mixture has the same uniform appearance and composition throughout. Many homogeneous mixtures are commonly referred to as solutions. A heterogeneous mixture consists of visibly different substances or phases. ... Particle size distinguishes homogeneous solutions from other heterogeneous mixtures.

Answer 2

$\huge\underbrace\mathcal\red{ANSWER}$

A(x

1

,y

1

)=A(h,−6)

B(x

2

,y

2

)=B(2,3)

C(x

3

,y

3

)=C(−6,k)

∴ centroid G (x, y) = G (1, 5)

G is the centroid.

By centroid formula,

x=

3

x

1

+x

2

+x

3

∴1=

3

h+2+(−6)

∴3=h+2−6

∴3=h+4

∴h=3+4

∴h=7

y=

3

y

1

+y

2

+y

3

∴5=

3

−6+3+k

∴15=−3+k

∴k=15+3

∴k=18

∴h=7andk=18