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Given a triangle with sides of length a, b, and c, if a 2 + b 2 = c 2, then the angle between sides a and b is a right angle. For any three positive real numbers a, b, and c such that a 2 + b 2 = c 2, there exists a triangle with sides a, b and c as a consequence of the converse of the triangle inequality.
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
Trapezium (UK) or trapezoid (US): at least one pair of opposite sides are parallel. Trapezia (UK) and trapezoids (US) include parallelograms. Isosceles trapezium (UK) or isosceles trapezoid (US): one pair of opposite sides are parallel and the base angles are equal in measure. Alternative definitions are a quadrilateral with an axis of symmetry ...
[30] [31] By one estimate, 70% of the growth in these entitlement expenses over the 2016-2046 period is due to healthcare. [32] Medicare was established in 1965 and expanded thereafter. Spending for Medicare during 2016 was $692 billion, versus $634 billion in 2014, an increase of $58 billion or 9%. [18]
By the triangle inequality, the best Eulerian graph must have the same cost as the best travelling salesman tour; hence, finding optimal Eulerian graphs is at least as hard as TSP. One way of doing this is by minimum weight matching using algorithms with a complexity of O ( n 3 ) {\displaystyle O(n^{3})} .
Guyana, [b] officially the Co-operative Republic of Guyana, is a country on the northern coast of South America, part of the historic British West Indies. [11] [5] [12] Georgetown is the capital of Guyana and is also the country's largest city.
Global share of wealth by wealth group, Credit Suisse, 2021 Share of income of the top 1% for selected developed countries, 1975 to 2015. Economic inequality is an umbrella term for three concepts: income inequality, how the total sum of money paid to people is distributed among them; wealth inequality, how the total sum of wealth owned by people is distributed among the owners; and ...
The angle between a chord and the tangent at one of its endpoints is equal to one half the angle subtended at the centre of the circle, on the opposite side of the chord (tangent chord angle). If the angle subtended by the chord at the centre is 90°, then ℓ = r √2, where ℓ is the length of the chord, and r is the radius of the circle.
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