show square root 20 on number line
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First, we can estimate what 20−−√20 is by noticing that it lies between 4 and 5; since 42=1642=16 andand 52=2552=25
Pythagoras’ Theorem states that in a right triangle with sides a, b and c (c being the hypotenuse); the equality a2+b2=c2a2+b2=c2 holds
Notice that 20=42+2220=42+22
Therefore, 20−−√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−−√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−−√
hope it helps you.
Pythagoras’ Theorem states that in a right triangle with sides a, b and c (c being the hypotenuse); the equality a2+b2=c2a2+b2=c2 holds
Notice that 20=42+2220=42+22
Therefore, 20−−√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−−√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−−√
hope it helps you.
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By Pythagoras theorem
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