Question

How to find square root of 4.5 geometrically

Answer 1

Step 1: Draw a number line. Mark O as the zero on the number line.Step 2: Mark a point A as -4.5 on the number line.Step 3: Mark a point C as 1 on the number line.Step 4: Mark a point B as the mid-point of AC.Step 5: With point B as the centre and radius as AB draw a semicircle.Step 6: From O draw a perpendicular line to the number line that intersects the previous drawn semi-circle at D. Here OD = square root of 4.5.Step 7: With O as centre and radius as OD, draw an arc that intersects the number line at point E. Here E is the point square root of 4.5 on the number line.