Question

represent√8.5 in a number line
​

Answer 1

Answer:

1) Draw a line 8.5 units, mark A as 8.5 and B as 0.

2) Extend the line segment AB 1 unit and name it as C.

3) Construct perpendicular bisector of AC and mark point of intersection as O.

4) With O as center, and OA as radius, complete the semi-circle. 

5) From the point B, construct a perpendicular, intersecting the semi-circle at D.

6) Then, BD = root 8.5.

7) With B as center and BD as radius, draw an arc, intersecting the line at E.

8) E is a point root 8.5.

Proof :-

AB = 8.5 units

AC = 9.5 units

OA = OC = 9.5/2, OD = 9.5/2

BC = 1 units

OC = 9.5/2 units

OB = OC - BC = 9.5/2 - 1

Therefore, OD² = OB² + BD² (Pythagoras Theorem)

So, BD = root 8.5.

thanks...plz