The word "obtuse angle" is spelled using the IPA phonetic transcription as əbˈtjuːs ˈæŋɡəl. The first syllable, "ob," is pronounced with a schwa sound, followed by a "t" and "ju" blend in the second syllable. The final syllable, "se," is pronounced with a long "e" sound. The word "angle" is pronounced with a short "a" sound, followed by a hard "ng" sound as in "sing." Overall, the spelling of this word accurately represents its pronunciation.
An obtuse angle is a term used in geometry to indicate an angle that measures more than 90 degrees but less than 180 degrees. It is a wide angle that starts from a certain point and opens up beyond 90 degrees. The word "obtuse" is derived from the Latin word "obtusus," meaning "blunted" or "dull."
In a two-dimensional Euclidean space, an obtuse angle can be visually understood as an angle whose vertex falls within a semicircle. This type of angle is typically larger than a right angle, which measures exactly 90 degrees, but smaller than a straight angle, which measures 180 degrees. The openness and width of an obtuse angle make it distinct from acute angles, which measure less than 90 degrees.
Obtuse angles arise in various geometrical contexts and can be found in shapes such as triangles and polygons. A triangle with one obtuse angle is called an obtuse-angled triangle or simply an obtuse triangle. In trigonometry, the sine, cosine, and tangent functions can be used specifically for solving problems involving obtuse angles.
Understanding obtuse angles is fundamental in many mathematical and physical fields, including architecture, engineering, and navigation. By comprehending the properties and measurements of obtuse angles, individuals can accurately analyze and describe the characteristics of geometric shapes and structures, aiding in the design and construction processes.
The word "obtuse" comes from the Latin word "obtusus", which means "blunt" or "dull". The term "angle" comes from the Latin word "angulus", meaning "corner" or "angle". Hence, the term "obtuse angle" refers to an angle that is larger than a right angle but less than a straight angle, and it describes the characteristic of being blunt or less pointed as compared to acute angles.