The Triangle Inequality and Degenerate Triangles - Expii www.expii.com › the-triangle-inequality-and-degenerate-triangles-1004
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In the Euclidean case, equality occurs only if the triangle has a 180° angle and two 0° angles, making the three vertices collinear, as shown in the bottom ... Euclidean geometry · Normed vector space · Reverse triangle inequality
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Equality holds in triangle inequality iff both numbers are positive, both are negative or one is zero ... How do we show that equality holds in the triangle ... Triangle Inequality Equality Conditions - Mathematics Stack Exchange General Triangle Inequality conditions for equality Equality of triangle inequality in complex numbers When does the equality hold in the triangle inequality? [duplicate] More results from math.stackexchange.com
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3 Sept 2021 · Geometrically, the triangular inequality is an inequality expressing that the sum of the lengths of two sides of a triangle is longer than the ...
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This inequality is an equality if and only if one of u, v is a scalar multiple of the other. Proof. Let u, v ∈ V . If v = 0, then both sides of (2) equal 0 and ...
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The triangle inequality states that: For any triangle the length of any two sides of the triangle must be equal to or greater than the third side.
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Theorem: In a triangle, the length of any side is less than the sum of the other two sides. So in a triangle ABC, |AC| < |AB| + |BC|. (Also, |AB| < |AC| ...
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triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, ...
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Triangle Inequality Theorem · If a side is longer, then the other two sides don't meet: · If a side is equal to the other two sides it is not a triangle (just a ...
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Duration: 5:52 Posted: 10 Sept 2015 VIDEO
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Theorem 11 Suppose V is an inner product space. Then, for all X, Y ∈ V , we have the following: • Cauchy-Schwarz Inequality: |〈X, Y 〉| ≤ X Y . Equality ...
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Duration: 18:53 Posted: 5 May 2011 VIDEO
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There is complete analogy with the case of equality in the usual scalar triangle inequality. In order to describe our assertion more precisely, let A and B be ^ ...
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If the sum of two sides become equal to the third side than the triangle will not be formed, infact all the three vertices will be collinear.
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The triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side.
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