Question

answer it correctly please​

Answer 1

Answer:

question :-

Let O (0,0) ,P (3,4) ,Q (6,0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR,PQR,OQR are of equal area. Find the co - ordinates of R.

given,

vertices of the triangle :-

O = ( 0,0 )

P = ( 3,4 )

Q = ( 6,0 )

to find :-

co ordinates of R.

$\huge\sf\underline{solution}$

as they said that the point R inside the triangle OPQ is such that the triangles OPR,PQR,OQR are of equal area

i.e

we can say that R is centroid of the triangle.

.: R = (x_1+x_2+x_3/3, y_1+y_2+y_3/3)

in O = (0,0)

let ,

x_1 = 0

y_1 = 0

in P = (3,4)

let,

x_2 = 3

y_2 = 4

in R = (6,0)

let,

x_3 = 6

y_3 = 0

.: substitute in formula.

R = (0+3+6/3 , 0+4+0/3 )

= (9/3 , 4/3 )

= ( 3 , 4/3 ).

.: co ordinates of R = ( 3 , 4/3 )