Question

if the centroid of the triangle formed with (a,b)(b,c) and (c,a)is O(0,9),thena3+b3+c3​

Answer 1

Step-by-step explanation:

centroid of triangle:

$( \frac{ x_{1} + x_{2} + x_{3}}{3} . \frac{ y_{1} + y_{2} + y_{3}}{3})$

$(\frac{a + b + c}{3}. \frac{ b + c + a}{3}) = (0.9)$

.:

$a + b + c = 0$

and

$a + b + c = 3 \times 9 \\ a + b + c = 27$

$3a + 3b + 3c = 81$