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Pythagoras' theorem states that for any right angle triangle the square of its hypotenuse is equal to the squares of its 2 sides:-

a2+b2 = c2 whereas a and b are the sides of the triangle with c being its hypotenuse or longest side

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Q: Why was the Pythagorean theorem regarded as a statement about areas?
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Do veterinarians used the Pythagorean Theorem?

Yes, veterinarians can use the Pythagorean Theorem in certain scenarios. For example, they may need to calculate the length of a diagonal in a rectangular enclosure to ensure proper space for an animal. By applying the Pythagorean Theorem (a^2 + b^2 = c^2), where 'a' and 'b' are the sides of the rectangle and 'c' is the diagonal, veterinarians can make accurate measurements for animal housing and treatment areas.


When did Greece invent the Pythagorean theorem?

The Pythagorean theorem was, oddly enough, first postulated by a Greek named Pythagoras of Samos, in the 6th century BC or so. It basically described the relationship among the three sides of a triangle and the areas of the same. There is some thought that Babylonian mathematicians well before the time of Pythagoras knew of the relationship, but he's the guy who got his name on the theorem.


Why is Pythagorean theorem important in geometry?

It finds the third side of the right triangle when the two sides are available. That helps to figure out the circumference of the triangle, it also helps find the length of the diagonal of the square or a rectangle. It helps finding areas and circumpherences of polygons, it helps with construction of polygons, etc... Generally it is one of the most basic and fundamental theorems.


Why is the right angle triangle theorem named after Pythagorean when Egyptian were using it to build the great pyramids 1500 year before he was born?

Because he produced a general theorem. The Egyptians knew that a 3-4-5 triangle gave a right angle.Additional Information:A possible explanation is that although the ancients knew that in a right angle triangle 32+42 = 52 Pythagoras also suggested that pi*1.52+pi*22 = 2.52 (the three sides as areas of a circle) but because no one knew then and even today knows the true value of pi so it became to be known as Pythagoras' Theorem.


How this pythagorean theorem made?

The Pythagorean Theorem was not made, it was discovered by an ancient Greek philosipher named Pythagoras. "A greek phylosopher proposed a theory that when two squares are drawn with a common corner and their sides are perpendicular to each other then a third square whose side connects to the corners of the adjacent sides of the first two squares will have an area that is equal to the sum of areas of the first two squares. let square1 be Area1 = X x X = X^2 square2 be Area2 = Y x Y = Y^2 Square3 be Area3 = H x H = H^2 the sides are X, Y, H form the triangle whose 90 deg angle is between X and Y. He states that the sum of the squares of these sides = the square of the thid side. He is actually reffering to the areas of the three squares. "From...(ENAC)