Question

1. Show how/20 can be represented on the number line.​

Answer 1

Answer:

Mark as brainliest answer.

Step-by-step explanation:

First, we can estimate what √20 is by noticing that it lies between 4 and 5; since 42=16 and 52=25

Pythagoras’ Theorem states that in a right triangle with sides a, b and c (c being the hypotenuse); the equality a2+b2=c2 holds

Notice that 20=42+22

Therefore,√20 is the hypotenuse of a right triangle with other sides 4 and 2.

Start off at (0,0) on the cartesian plane (where the x-axis is the number line). Construct a triangle with base OB, such that O (0,0) and B(2,0) and height OC such that C(0,4). Join the length BC, which will have a length of √20

Now, take a compass and make the radius of the circle to be constructed BC. Then, place the compass at the origin, and cut the length onto the positive x-axis. This will give you the position of √20