Question

Q1. A teacher asked the students about their heights. Manoj said his height is same as that of Abhinav. Tarun also answered the same way, that its height is same as that of Abhinav. She then asked the students to relate the height of Manoj and Tarun. Abhinav Answered they both have same height. Is Abhinav Correct? if yes, state Euclid's axiom which supports the answer.​

Answer 1

Yes, Abhinav is correct. According to Euclid's axiom, the "Axiom of Identity," if two things are each the same as a third thing, then they are the same as each other.

Explanation:

Yes, Abhinav is correct. According to Euclid's axiom, the "Axiom of Identity," if two things are each the same as a third thing, then they are the same as each other.

In this case, Manoj said his height is the same as Abhinav's height, and Tarun also said his height is the same as Abhinav's height. According to the Axiom of Identity, since both Manoj and Tarun are each the same as Abhinav (in terms of height), they must also be the same as each other in terms of height.

This axiom essentially establishes the concept of transitive equality, which is a foundational idea in geometry and mathematics. Therefore, Abhinav's statement that Manoj and Tarun have the same height is supported by Euclid's axiom.