Plot Z at (5, –6) in Quadrant IV. If we choose I(5, 0) and N(0, 0), side IZ = 6 units, IN = 5 units and by the Baudhāyana-Pythagoras Theorem, ZN = √61 units.
Plot point Z (5, – 6) on the Cartesian plane. Construct a right-angled triangle IZN and find the lengths of the three sides. (Comment: Answers may differ from person to person.)
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After plotting Z (5, –6) in the fourth quadrant, we construct a right-angled triangle using points I (5, 0) on the x-axis and N (0, 0) at the origin. The vertical side IZ has a length of 6 units, and the horizontal side IN is 5 units. Using the Baudhāyana-Pythagoras Theorem, the hypotenuse ZN length is calculated as the square root of (5 squared plus –6 squared), which equals the square root of 61 units.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/