Question

Determine whether the point is collinear.

R(0, 3), D(2, 1), S(3, –1)

Answer 1

R(0, 3), D(2, 1), S(3, –1)

RD = \[\sqrt{\left( 2 - 0 \right)^2 + \left( 1 - 3 \right)^2}\]

= `sqrt((2)^2 + (- 2)^2)`

= `sqrt(4 + 4)`

= `sqrt8`

= `sqrt(4 xx 2)`

= `2sqrt2`

DS = `sqrt((3 - 2)^2 + ((-1) - 1)^2)`

= `sqrt((1)^2 + (-2)^2)`

= `sqrt(1 + 4)`

= `sqrt5`

RS = `sqrt((3 - 0)^2 + ((-1) - 3)^2)`

= `sqrt((3)^2 + (-4)^2)`

\[ = \sqrt{9 + 16}\]

\[ = \sqrt{25}\]

\[ = 5\]

Sum of two sides is not equal to the third side.
Hence, the given points are not collinear.