Question

If A, B and C are three points on the line (in the same order), then which of the following is true?

• A. AB+BC > AC.
• B. AB+BC < AC.
• C. AB+BC = AC.
• D. AB=BC=AC

Answer 1

The correct option is C AB+BC = AC.

Euclid’s $4^{th}$ axiom states that things which coincide are equal to one another and Euclid’s $5^{th}$ axiom states that whole is greater than the part, AC is greater than AB or BC. Combining these concepts AC can be concluded as equal to the sum of AB+BC.