Pythagoras' theorem...?

Question

can anyone explain pythagoras' theorem as simply as possible???

Maths test tomorrow and study seems to have taken a back seat for more interesting things.

Answer 1

Pythagoras Theorem asserts that for a right triangle with short sides of length a and b and long side of length c ,
a^2 + b^2 = c^2

There is a very simple proof of Pythagoras' Theorem that uses the notion of similarity and some algebra. It is commonly seen in secondary school texts. We can cut the triangle into two parts by dropping a perpendicular onto the hypothenuse. Since these triangles and the original one have the same angles, all three are similar. Therefore

x / a = a / c, c - x / b = b/c
x = a2 / c, c - x = b2/c
x + (c-x) = c, a2/c + b2/c = c
a^2 + b^2 = c^2

Answer 2

In a right angled triangle, the side opposite the right angle is the hypotenuse,with length h, the other two have lengths o and a respectively,
the Pythagoras' theorem asserts that,

h^2 = o^2 + a^2

Answer 3

Pythagoras' Theorem states that for a right-angled triangle, the sum of the square of the two perpendicular sides results in the square of the third slanted side known as the hypotenuse. If the perpendicular sides are a and b and the hypotenuse is c, then: a^2 + b^2 = c^2

Answer 4

hey its simple,
u take a triangle , infact a right angled triangle.
then the diagnol side of it say AC is known as Hypotneous, The horizontal line BC is called Base and the vertical line AB is called the height,
then the Pythagoras' theorem states that
AC^2 = AB^2 + BC^2.
For example, if u draw a triangle using the lines of value 3 and 4 as base and hieght and 5 as hypotneous, then pythagorus theorm satisfies it...
i.e. 5^2 = 3^2 + 4^2
or 25 = 9 + 16
or 25 = 25, which is true.

Answer 5

Suppose you have a rectangle with an angle of 90° ( right angle)

The side opposed to the right angle is called Hypotenuse

Pythagoras said that the square of the length of the hypotenuse is equal to the sum of the squares of the two other sides

Name the length of hypotenuse H
the name of the other sides A and b

so H^2 = A^2 + B^2

Answer 6

it is a² + b² = c²
just plug in the given numbers to find the unknown. For example, if:
a = 3, then a² = 9
b = 5, then b² = 25

Using a² + b² = c² >>> 3² + 5² = c² >>> 9 + 25 = c² >>> 34 = c² >>> sqrt 34 = c

Answer 7

Pythagorean Theorem Formula

c² = a² + b²

Triangle sides

Let

a = Opposite side

b = adjacent side

c = Hypotenuse side

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values for side a and b

a = 4 inches

b = 3 inches

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Solve for c using Pythagorean Theorem

c² = a² + b²

c² = √(4)² + (3)²

c² = √16 + 9

c² = √25

c = 5

The answer is c = 5

The Hypotenuse is 5 inches

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Answer 8

READ THIS CAREFULLY AND U"LL SURELY UNDERSTAND
In a right angle triangle is a triangle with one angle as 90 degrees

the side opp. to angle 90 degrees is called hypotenuse
and the other two base and altitude acc. to ur own convinience.
acc. to pythagoras theorem
THE SUM OF SQUARES OF PREPENDICULAR AND BASE EQUALS HYPOTENUSE SQUARE

{BASE}^2 + {PREPENDICULAR}^2 = {HYPOTENUSE}^2

Answer 9

pythagoras theoram: In a right angle triangle -the square of hypotenues is equal to the sum of square's of perpendicular and base.

H^2 = P^2+B*2
H= HYPOTENUES, P=Perpendicular and B= Base

Answer 10

In a triangle ABC right angled at B,
AC square = AB square + BC Square