CBSE Class 9MathematicsNumber System
For a rally against corruption, students were having boards written “SAY NO TO CORRUPTION”. The boards are square-shaped of each side 3 m. One of the student states that the diagonal of the board is an irrational number. (i) Do you agree with his statement and why? (ii) Locate this irrational number on the number line. (iii) What values are depicted from their activity?
Step-by-step solution
(i) Yes, using Pythagoras theorem, in a right-angled ABC, B = 90° AC 2 = AB 2 + BC 2 = 3 2 + 3 2 = 9 + 9 = 18 AC = = Since is an irrational number, so length of diagonal of square board is an irrational number. (ii) (iii) Values depicted are transparency, accountability, integrity, solidarity, courage, justice and democracy.