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## Answers

draw a 1 cm line above 3 and name the point B and join it to 0.

take a compass and measure this line segment and draw an arc from 0 cutting the number line.

this point is root 10.

**REASON:**

hypotenuse square =sum of the squares of other two sides

=square of 3+ square of 1= 9+1=10

hypotenuse= root 10

now from 0 as center and radius 3 cm draw an arc on line l ,

name the intersecting point as A

now from A draw a perpendicular of 1cm

name the point where it ends as B

now join 0B

take 0B as radius and draw an arc on line l

name it as point C

point C is root10

as

by Pythagoras theorem

1^2 + 3^2 as the 90 degree angle and the base respectively

therefore root 10 = root over 3^2 + 1^2 being root over 9 + 1

and there you have it