Question

Point c(x,y) divides the distance ab with point a(8,12) and point b(16, 18) in a ratio of 3:5, with ac being shorter than bc. what are the coordinates of c

Answer 1

Answer:

Coordinate of point C = C(x,y)=$(11 ,\frac{114}{8}  )$

Explanation:

Point A(8,12) and point B(16, 18) in a ratio of 3:5.

Internal section formula is :

$C(x,y) =(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})$

x₁  = 8

y₁ = 12

x₂ = 16

y₂ = 18

m = 3

n = 5

Plug these values in the above formula.

c(x,y) = $(\frac{3*16+5*8}{3+5} ,\frac{3*18+5*12}{3+5} )$

C(x,y) = $(\frac{48+40}{8}, \frac{54+60}{8})$

C(x,y) = $(\frac{88}{8} ,\frac{114}{8})$

C(x,y)=$(11 ,\frac{114}{8}  )$

That's the final answer.

I hope its help you.