Question

if a point C lies between two points A and B such that AC=BC, then prove that AC=½AB explain by drawing figure

Answer 1

AB=AC+BC
AB=AC+AC    (as BC=AC)
AB=2 AC⇒AC=1/2 AB.....proved

Answer 2

Gíven:

• AC = BC

Now, adding AC both sides.

L.H.S+AC = R.H.S+AC

AC + AC = BC + AC

2AC = BC+AC

We know that,

BC+AC = AB (as it coincides with line segment AB)

∴ 2 AC = AB (If equals are added to equals, the wholes are equal.)

⇒ AC = (½)AB.