Question

If a point c lies between two points a and b such that ac=bc, then prove that ac=1/2ab

Answer 1

note that AC + BC = AB

Answer 2

Pls explain

Answer 3

AC + BC = AB

Answer 4

use the fact that AC=BC (given in the question)

Answer 5

As AC=BC, C is the midpoint. So AC+BC=AB. As C is midpoint AC=BC. Which implies AC+AC=AB. Therefore 2AC=AB. So, we can conclude that AC=1/2AB ( By transposing the 2 in the LHS to RHS.

Cheers. :D