How do u explain the pythagoras theory simply?

Question

i need it for maths but i need it in the simplest form

Answer 1

In a right-angled triangle, the square of the hypotenuse (the side opposite the 90 degree angle) is equal to the sum of the squares of the other two sides.

Answer 2

So a squared plus b squared equals c squared. The simplest form is a 3, 4, 5 triangle. Three squares the first 3x3 the second 4x4 and the third 5x5 positioned to from a triangle will form a right angled triangle. (9+16=25) A right angle can be formed by pegging a chain or line into a 3, 4, 5, triangle

So that's how it works. The why it works is way beyond me.

Answer 3

Best to start from a real example. If a triangle is constructed with sides of 3, 4 and 5 units, the two shorter sides will form a right angle. This was known long before Pythagoras proved the theorem, being used for setting out right-angled corners to buildings. It so happens that 3 squared and 4 squared add up to 5 squared (16 + 9 = 25), and what Pythagoras proved is that:

In *any* right-angled triangle the squares of the two shorter sides add up to the square of the longest side.

That last sentence is probably the simplest way of expressing the theorem. OK, the longest side of a right-angled triangle is called the hypotenuse, but you don't have to use that word!

Answer 4

Pythagoras theory is simply the formula for finding one side of a triangle .
Here the longest side is the hypotenuse the side opposite the angle is opposite and the last side is adjacent side
This makes the formula hyp2=opp2+adj2
this will make it easy to work with triangles

Answer 5

Simply use the lengths 3, 4 and 5 as your example for a right angled triangle.
Pythagoras theorum= 3 sq + 4 sq = 5 sq

9 + 16 = 25

Answer 6

Pythagoras' Theory states that the square on the hypoteneuse of a right-angled triangle is equal to the sum of the squares on the other two sides.

Answer 7

You have a right angled triangle.

The diagonal is called the hypotenuse, of which we will label algebraically as (c).

The other two sides are called (a) and (b). It really doesn't matter which is which.

Now, the square of the hypotenuse is the sum of the other two sides squared.

So: c^2 = a^2 + b^2

Hence if we want the length of the hypotenuse (c): it is the sqr root of a^2 + b^2.

If we want (b), its the sqr root of c^2 - a^2.

etc.

Answer 8

If you take the two legs of a right triangle and make squares of both of them, the sum of the areas of the two squares should equal the square of the hypotnuese.

Answer 9

1) draw squares on each side of the right-angled triangle...
2) fill with WATER the two smallest squares,...
3) transfer the water of both squares to the largest one and it will fill it up exactly while the first 2 will be empty.

a^2 + b^2 = c^2

Answer 10

A squared + B squared = C squared
multiply the squares of the two sides of the triangles to find the hypotenuse. then use the square root sign to find the length of the hypotenuse. the number will usually be a decimal