Question

How to find the square root of 93 on a number line

Answer 1

Hi,

Explanation:

Using the theorem:
"in a right triangle, the height relative to the hypotenuse is average proportional between the two segments that it determines on the hypotenuse."

Answer 2

Given,

Steps for construction:

1) Draw a line segment

of length

units on number line.

2) Extend the line by

unit more such that

unit .

3) Find the midpoint of

and mark it as

.

4) Take

as radius, draw a semi-circle.

5) Draw a line

perpendicular to

and let it intersect the semicircle at point

.

6) Taking

as center and

as radius, draw an arc

such that it intersects the number line at

.

Hence,