Οτ θογοναλιτυ ατ Θέ Χυποτενουσε Χυποτενουσε Χοποθετικαλ

Οτ θογοναλιτυ ατ Θέ Χυποτενουσε

cute and obtuse triangles

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An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Acute and obtuse triangles are the two different types of oblique triangles — triangles that are not right triangles because they do not have a 90° angle.

Right	Obtuse	Acute
	${\displaystyle \underbrace {\qquad \qquad \qquad \qquad \qquad \qquad } _{}}$
	Oblique

Contents

• 1Properties
• 2Inequalities
  • 2.1Sides
  • 2.2Altitude
  • 2.3Medians
  • 2.4Area
  • 2.5Trigonometric functions
  • 2.6Circumradius, inradius, and exradii
  • 2.7Distances involving triangle centers
  • 2.8Inscribed square
  • 2.9Two triangles
• 3Examples
  • 3.1Triangles with special names
  • 3.2Triangles with integer sides
• 4References
  
  

hypotenuse (n.)

the side of a right triangle that is opposite the right angle, 1570s, from Late Latin hypotenusa, from Greek hypoteinousa "stretching under" (the right angle), fem. present participle of hypoteinein, from hypo- "under" (see hypo-) + teinein "to stretch," from PIE root *ten- "to stretch." Formerly often erroneously hypothenuse. Related: Hypotenusal.

*upo 

Proto-Indo-European root meaning "under," also "up from under," hence "over."

nice definition of how to lose money on a game bet the over over

Proto-Indo-European root meaning "under," also "up from under," hence "over."

It forms all or part of: above; assume; Aufklarung; eave; eavesdropper; hyphen; hypo-; hypochondria; hypocrisy; hypotenuse; hypothalamus; hypothesis; hypsi-; hypso-; opal; open; oft; often; resuscitate; somber; souffle; source; soutane; souvenir; sub-; subject; sublime; subpoena; substance; subterfuge; subtle; suburb; succeed; succinct; succor; succubus; succumb; sudden; suffer; sufficient; suffix; suffrage; suggestion; summon; supine; supple; supply; support; suppose; surge; suspect; suspend; sustain; up; up-; Upanishad; uproar; valet; varlet; vassal.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit upa "near, under, up to, on," Greek hypo "under," Latin sub "under, below," Gothic iup, Old Norse, Old English upp "up, upward," Hittite up-zi "rises."

The word hypotenuse is derived from Greek ἡ τὴν ὀρθὴν γωνίαν ὑποτείνουσα (sc. γραμμή or πλευρά), meaning "[side] subtending the right angle" (Apollodorus),^[1] ὑποτείνουσα hupoteinousa being the feminine present active participle of the verb ὑποτείνω hupo-teinō "to stretch below, to subtend", from τείνω teinō "to stretch, extend". The nominalised participle, ἡ ὑποτείνουσα, was used for the hypotenuse of a triangle in the 4th century BCE (attested in Plato, Timaeus 54d). The Greek term was loaned into Late Latin, as hypotēnūsa.^{[2][better source needed][3]} The spelling in -e, as hypotenuse, is French in origin (Estienne de La Roche 1520).^[4]