Can these distances help you find the distance AD?
Yes, these distances help find the distance AD. The distances moved along the x-axis and y-axis form the perpendicular sides of a right-angled triangle, and by applying the Baudhāyana–Pythagoras Theorem, AD can be calculated as the hypotenuse.
Explanation
The textbook context explains that the distance moved along the x-axis (CD = 4) and the distance moved along the y-axis (AC = 3) act as the two perpendicular legs of a right-angled triangle. Using the Baudhāyana–Pythagoras Theorem, the distance AD is the hypotenuse, which is calculated as the square root of the sum of the squares of these two distances.
Solution Steps
Step 1: Identify the distance moved along the x-axis (4 units) and the distance moved along the y-axis (3 units).
Step 2: Recognize that these distances form the perpendicular sides of a right-angled triangle with AD as the hypotenuse.
Step 3: Apply the Baudhāyana–Pythagoras Theorem: AD = = 5 units.