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The 28 pages that link to Right triangle, each with the reason it gives.

• Pythagorean theoremNarrower topic: The theorem applies specifically to this triangle type, with its longest side opposite the right angle.

• TriangleBroader topic: The right angle enables the Pythagorean theorem and familiar trigonometric ratios.

• SineRelated: In an acute angle’s right triangle, sine is opposite side divided by hypotenuse.

• Trigonometric functionsRelated: Ratios of its sides give the basic right-triangle definitions of sine, cosine, and tangent.

• CircumcircleBroader topic: Its circumcenter is the midpoint of its hypotenuse.

• TrigonometryBroader topic: Its side ratios define the basic trigonometric functions.

• CircumcenterBroader topic: Its circumcenter is the midpoint of the hypotenuse.

• OrthocenterRelated: Its orthocenter is the vertex at the right angle, where two altitudes coincide with the legs.

• Thales' theoremBroader topic: The diameter and any point on the semicircle form a right triangle.

• Small-angle approximationNarrower topic: The opposite-to-adjacent ratio in the gloss is defined using a right triangle.

• Euler lineBroader topic: Its orthocenter is the right-angle vertex, making the Euler line easy to locate.

• Inverse trigonometric functionsRelated: Inverse ratios recover acute angles from side lengths in right-triangle problems.

• Pythagorean tripleNarrower topic: Each triple gives the three side lengths of a right triangle.

• Right angleBroader topic: The right angle defines this triangle’s distinctive shape and its trigonometric relations.

• Distance formulaRelated: The coordinate differences form its legs, and the point-to-point distance is its hypotenuse.

• Euler's inequalityBroader topic: Its circumradius is half its hypotenuse, offering a direct test of the bound.

• Triangle centersRelated: Its circumcenter is the midpoint of the hypotenuse, while its orthocenter is the right-angle vertex.

• Scalene triangleRelated: A right triangle can also be scalene; the labels describe different properties.

• Sine and cosineRelated: For acute angles, sine and cosine are ratios of side lengths in a right triangle.

• Pythagorean trigonometric identityRelated: Its side ratios define sine and cosine, while the Pythagorean theorem links those ratios.

• Feuerbach's theoremBroader topic: Its orthocenter is a vertex, simplifying the nine-point-circle construction.

• Fagnano's problemCompared with: The orthic triangle degenerates because one altitude foot is the right-angle vertex.

• Geometric mean theoremNarrower topic: The theorem applies to this triangle and its altitude to the hypotenuse.

• Conway circle theoremBroader topic: Its side lengths provide a simple setting for calculating the incircle and excircles explicitly.

• Droz-Farny line theoremBroader topic: Its orthocenter is the right-angle vertex, a useful degenerate-looking special case.

• Equal Incircles TheoremBroader topic: Its inradius has a direct expression in terms of its side lengths.

• Law of cotangentsBroader topic: Its right angle has cotangent zero, simplifying the identity to a product of the other two cotangents equal to one.

• Lester's theoremBroader topic: Its circumcenter lies at the hypotenuse midpoint, giving a simple special case to examine.