Question

between the two towns A and B discussed in Section 7.2.
3. Determine if the points (1,5), (2, 3) and (-2,-11) are collinear.
Answer is No​

Answer 1

Answer :

No as you told I will explain How..

Explanation :

it will be collinear if the sum of any two sides are greater than the other.

Let A (1,5) , B (2,3) , C (-2,-11) are the points

Distance Formula :- √(x1 - x2)2 + ( y1 - y2)2

Distance of AB

→√(1-2)2 + (5-3)2

→√(1) + (4)

→√5

Distance of BC

→√(2-(-2))2 + (3-(-11))2

→√(2+2)2 + (3+11)2

→√(16) + (196)

→√212

Distance of AC

→√(1-(-2))2 + (5-(-11))2

→√(1+2)2 + (5+11)2

→√(9) + (256)

→√265

Therefore, The sum of any two sides will never give the third side

Hence, The given points are non - collinear..

Thank-you.