Locate √10 on number line.

According to Pythagoras theorem:

Hypotenuse = √ (Perpendicular² + Base²)

√10 = √ (3² + 1²)

To plot √ 10 we can use the above concept

Step 1: Draw a number line and mark a distance of 3 units from 0 to 3 and mark the point as C

Step 2: Draw a perpendicular of 1 unit from C and mark it as B. Mark the point 0 as A.

Step 3: Join AB

Step 4: Δ ABC becomes a right angled triangle with AB = √10 units from Pythagoras theorem.

Step 5: Taking AB as radius draw an arc taking A as centre until it meets the number line. Mark the point as P.

Step 6: The point P is the required point √10 to be plot on the number line