Question

If a, b, c are three point on a line,and b lies between a and c then prove that ab + bc =ac

Answer 1

Answer:

Given : Three points on a line a,b and c

b lies between a and c

To prove : ab + bc =ac

Proof : ab = bc. (b lies between a and c)

ac = 2ab or ab + ab = ac

ac = 2bc or bc +bc = ac

Hence, ab = bc sooo ab +bc = ac