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The mathematician often credited with discovering the properties of triangles, particularly their angles, is Euclid. In his work "Elements," he established foundational principles of geometry, including the sum of the interior angles of a triangle being 180 degrees. This insight laid the groundwork for further developments in geometry and remains a fundamental concept in mathematics today.

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What is a ambiguous triangle?

An ambiguous triangle, often referred to in the context of triangle congruence, arises in the case of the SSA (Side-Side-Angle) condition. This occurs when two sides and a non-included angle of a triangle are known, potentially leading to two different triangles, one triangle, or no triangle at all. The ambiguity stems from the fact that the given angle can correspond to two different configurations of the sides. Consequently, this situation does not guarantee a unique solution in triangle construction.


How often are the longest angle in a triangle opposite to the longest side of a triangle?

Pretty often, but not really common


Which theorem states that the angle measures in a triangle sum to 180?

The theorem that states the angle measures in a triangle sum to 180 degrees is known as the Triangle Sum Theorem. This fundamental property of triangles applies to all types of triangles, regardless of their shape or size. It is often used in geometry to solve for unknown angles when given the measures of other angles in a triangle.


What are René Descartes' contributions to the society?

Descartes created the Cartesian coordinates and the Cartesian curves and has often been given credit for analytical geometry. he was a mathmatician


What is the definition for leg of a triangle?

There is no formal definition: it is any side of a triangle. Often, if the triangle has a horizontal base, then it is one of the sloped sides. In a right angled triangle, it is one of sides adjacent to the right angle. In an isosceles triangle, it is one of the equal sides.

Related Questions

George Orwell and his novel 1984 are often given credit for the idea of?

doublespeak


Who is given credit for finding your state?

The credit for finding a state often goes to explorers or settlers associated with its discovery. For example, Christopher Columbus is credited with discovering parts of the Americas, while states like Virginia honor figures like John Smith. Each state has its own history and notable figures linked to its exploration and settlement, reflecting a diverse range of contributions.


Who first discovered Kentucky?

While probably untrue the credit is often given to Daniel Boone.


What man is often given the credit for the unitary theory of electricity?

That is James Clerk Maxwell 1831-1879.


What is an example of credit?

An example of credit is when someone lets you have something with only the promise to pay them later. Credit limits are often given by financial institutions allowing people to borrow up to a certain limit.


How are newly discovered elements named?

People decide on who gets the credit of discovering the new element, and then who gets the honor of naming it. Often times they name the new element after a place, country, scientist, or myths, etc.


What are the credit requirements to open an internet merchant account?

Merchant accounts are often given to individuals with no or poor credit ratings. However, the longer that you are in business and as your monthly charge volume grows, your credit rating becomes more important, and it is then important to have a good credit rating.


What is a ambiguous triangle?

An ambiguous triangle, often referred to in the context of triangle congruence, arises in the case of the SSA (Side-Side-Angle) condition. This occurs when two sides and a non-included angle of a triangle are known, potentially leading to two different triangles, one triangle, or no triangle at all. The ambiguity stems from the fact that the given angle can correspond to two different configurations of the sides. Consequently, this situation does not guarantee a unique solution in triangle construction.


How often are the longest angle in a triangle opposite to the longest side of a triangle?

Pretty often, but not really common


What are René Descartes' contributions to the society?

Descartes created the Cartesian coordinates and the Cartesian curves and has often been given credit for analytical geometry. he was a mathmatician


Is it true or false that Watson and crick were the two scientists that are most often given credit for discovering the 3-D shape of DNA deoxyribonucleic acid?

Its true, though Dr Rosalind Franklin did the actual work, which was then shown by Crick to Watson without her knowelege. Because of her work with x-rays she died of ovarian cancer and could not be included in the Nobel prize for the discovery of the DNA double-helix.


Why was Captain Cook given all the credit for discovering Australia?

James Cook, who was not even a captain when he charted Australia's eastern coast, was given the credit (incorrectly) for discovering Australia because it was upon his recommendation that Australia was actually settled by the British. Cook charted the eastern coast of Australia, and he was the one who claimed it in the name of Great Britain in 1770, calling it New South Wales. He charted the east coast between April and August of that year. For these reasons, Cook is often wrongly credited with discovering Australia. There were several Dutch and French explorers who landed on Australia's shores long before Cook even set sail, and Cook was not even the first Englishman to sight Australia, with that honour going to William Dampier. The Dutch did not make any formal claim to the continent, and the French claim was not substantiated. Because Australia had been settled by the British, and there was a continuing loyalty to the British, for years Australian schoolchildren were taught that Captain Cook discovered Australia.