What's the usage of Pythagoras' theorym ?

Answer 1

You better work on your grammatical usage first.

The theorem attributed to Pythagoras, the mystical philosopher is known as the "Pythagorean Theorem".
It was known to the ancient Egyptians--who knew the 3/4/5 right triangle and several other fixed types--that the area of
a square drawn on the two short sides of a right triangle is equal to the square of the long side (the hypotenuse). So if c is the length of the hypotenuse you solve by the equation a^2 + b^2= c^2.
This theorem led to the discovery of irrational numbers.
Take a square with a side of one. Now split the square in half along the diagonal. You end up with two equal area Isosceles right triangles with sides of 1 and the diagonal is the unknown.
But now you've got a problem. 1^2 + 1^2 = 2. The length of the diagonal is going to be the square root of 2 and the ancient Greeks did not use decimals like we do. So they tried to work it out as a whole number + a fraction or a fraction or a ratio of whole numbers and nothing they tried worked! One Pythagorean disciple is believed to have committed suicide when he realized that Pythagoras' mystical philosophy was full of holes. The ratio of a circle's circumference to its diameter was another of these nasty numbers that can't be expressed as a whole number or fraction. Mathematicians named them "irrational" numbers. Might as well have called them "crazy" numbers.

Answer 2

We deal with right triangles in the real world all the time. Imagine a flag pole, casting a shadow on the ground. If you draw an imaginary line from the top of the pole to the end of the shadow (the hypotenuse), it forms a right triangle with the pole and the shadow being the two legs of the triangle.

Also, remember with the Pythagorean theorem, that it is not just for calculating the length of the hypotenuse. You can calculate any of the three side's length if the other two are known.

Answer 3

Pythagoras' theorem is used in findin the lengths of sides of right angled triangles(those with a 90 deg angle, and also the lengths of the diagonals of rhombi and rectangles

cheers!

Answer 4

It’s really central to Trigonometry

Let the radius of a circle be C
and the Hypotenuse of a right triangle.

Let the sin of x be A/C
Let the cos of x be B/C

Then sin^2 x+cos^2x=
A^2/B^2 + C^2/B^2 =

(A^2+B^2)/C^2
But with Pathygoras
A^2 + B^2 = C^2
Replacing:
C^2/C^2 = 1
So we get the primary trigonometric identity:
Sin^2x + cos^2x = 1
Cool, yes?

Answer 5

u measures diagonal of a rectangle if the rectangle has a 90 degrees point

Answer 6

To measure diagonals of a rectangle.

Answer 7

u mean Pythagorean theorem?...well..it is very useful in finding the missing parts of triangles which can be used well in geometry, physics and algebra and trigonometry....