What is the pre-requisite knowledge for pythagoras theorem?

Answer 1

1) What a triangle is
2) What a right angle is
3) The fact that x^2 = x*x

If you want to solve for variables using the theorem, add:
4) How to use square roots

Answer 2

I think you are asking what definitions, theorems, axioms, and postulates do you need to prove the Pythagorean Theorem. There are many proofs of the Pythagorean Theorem, but the most common prerequisites are:
1) Proof that two triangles are similar.
2) Proof that corresponding sides of similar triangles are proportional.
3) Proof the altitude drawn from the right angle to the hypotenuse is the mean proportional between the segments of the hypotenuse.
4) Proof either leg of the right triangle is the mean proportional between the hypotenuse of the given right triangle and the segment of the hypotenuse adjacent to that leg.

In Book I of Euclid's Elements, he used 23 definitions, 5 postulates, 5 axioms to prove his 1st 48 propositions(theorems).

The Pythagorean Theorem was the 47th to be proved!!

Answer 3

from the ancient Chinese proof by the square
you must know that the area of a square is x^2 and also basic algebra like 4*a*b-2*a*b=2*a*b

but there are many proofs(I once found a site that had 72 if I remember right) and all have different pre-requisite knowledge

I proved it by a circle and that required another theorem(cant remember the name) that relied on basic triangle knowledge

Answer 4

Pythagoras' theorem is often used in the form industry. builders use it to be certain that corners of the form are perpendicular. with the aid of measuring one component to be 3 metres, the adjacent component to be 4 metres, and the hypotenuse to be 5 metres, the builder could be certain that the attitude between the two shorter aspects is ninety stages. an identical technique is observed with the aid of faculty groundsmen in marking out athletic tracks and fields

Answer 5

The mathematical theorem that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.

Answer 6

Basic algebra.

in a right triangle where c is the Hypotenuse (opp. the 90° angle) :
a^2 + b^2= c^2

Answer 7

It would help to have some knowledge of algebra and geometry. Some knowledge of who Pythagoras was would add interest to the subject matter.

Answer 8

You should know what a triangle is. Also you should have
a knowledge of right angles and multiplication. Knowing
some basic algebra would be valuable also.

Answer 9

Definition of straight line and plane triangle

Answer 10

concept of similar triangles