Question

Find the value of $\sqrt{3.5}$ geometrically.

Answer 1

If you want to find the value of $\sqrt{3.5}$ geometrically, then follow these steps.

1. Take any point A, then draw a line AB $=3.5units$

2. Now, extend AB to point C such that BC $=1units$

3. Now, find out the mid point of AC say point O. Using O as a center draw a semi-circle with radius OC.

4. Draw a straight line from point B that is perpendicular to AC and intersecting semi-circle at point D.

Therefore,

$\sqrt{3.5}units=$ the length of BD