Question

represent root 5.7 on number line

Answer 1

Heya!!! ✌️✌️

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Here is your answer dear.....

Let K = 5.7 cm

Draw a right angle triangle with base of length (K-1)cm and hypotenuse (K+1)cm . The third side of the triangle represents twice the square root of K . i.e. 2√k . Thus we can bisect the line obtained to get √k

Explanation :-

This can be proved by Pythagoras theorem .

Length of third side = √{(K+1)^2-(K-1)^2} =2√K

The triangle can be constructed as explained :-

Draw the base line of length (K-1) cm .
Draw perpendicular line from one end of the base .
Cut an arc of length (K+1) cm from the other end of the base line to the perpendicular drawn.
Joint the point obtained to complete the triangle .

I HOPE THIS WILL HELP YOU OUT....

HAVE A GREAT DAY DEAR....

#Bhavana ☺️