Question

Represent 1+√8.5
on the number line.

Answer 1

Step-by-step explanation:

Steps

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

OAOC = 9.5/2, OD 9.5/2

BC = 1 units

OC 9.5/2 units

OBOCBC = 9.5/2 - 1

Therefore, OD² = OB² + BD² (Pythagoras

Theorem)

So, BD = root 8.5.

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