MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
On a horizontal number line with origin O(0), a student first locates the point P representing 2.
(i) Starting from P, describe the steps needed to construct a new point Q on the number line such that OQ=3.
(ii) Prove, using appropriate right triangles, that the distance OQ obtained by your construction in part (i) is indeed 3 units.
(iii) Calculate the exact distance PQ between the two constructed points and verify your result numerically, taking 2≈1.414 and 3≈1.732.