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obtuse
▪ I. obtuse, a. (əbˈtjuːs) [ad. L. obtūs-us dulled, blunt, pa. pple. of obtundĕre to obtund. Cf. F. obtus, -use (1542 in Hatz.-Darm.).] Blunt (in various senses): opp. to acute. 1. lit. Of a blunt form; not sharp or pointed: esp. in Nat. Hist. of parts or organs of animals or plants. The opposite of... Oxford English Dictionary
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Obtuse
Obtuse may refer to: Obtuse angle, an angle of between 90 and 180 degrees Obtuse triangle, a triangle with an internal angle of between 90 and 180 degrees Obtuse leaf shape Obtuse tepal shape Obtuse barracuda, a ray-finned fish Obtuse, a neighborhood in Brookfield, Connecticut wikipedia.org
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Obtuse Angle - Cuemath
Obtuse Angle. It measures less than 90°. It measures greater than 90° and less than 180°. A triangle with three acute angles is known as an acute angle triangle. A triangle with 1 obtuse angle and 2 acute angles is termed an obtuse angle triangle. Examples of acute angles: 56°, 12°, 79°, 43°, etc.
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Obtuse Angle - Definition, Degree, Properties, Examples - SplashLearn
Properties of Obtuse Angles. An obtuse angle measures between 90º and 180º. An obtuse angle is greater than a right angle and an acute angle, but it is smaller than a straight angle (180º). The size of an obtuse angle appears bigger than a quarter of a circle but less than a semicircle. An obtuse angle is always greater than an acute angle.
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What is Obtuse Angle? - BYJU'S
In Mathematics, " an obtuse angle is an angle which is greater than 90 ° and less than 180 °". In other words, an obtuse angle is between a right angle and a straight angle. Let us consider the below example, From the figure, it is noted that the smaller angle is called the obtuse angle, and the larger angle formed is called the reflex angle.
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Obtuse Angle - Elementary Math Steps, Examples & Questions
An obtuse angle is an angle greater than 90^ {\circ} 90∘ but less than 180^ {\circ} 180∘. these two angles. Obtuse angles can be formed when two rays extend from a common point. The symbol (\angle) (∠) is used to name an angle. The angle can be named after the vertex and a point on each ray or just the vertex.
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obtuse
obtuse/əbˈtju:s; ?@ -ˈtu:s; əb`tus/ adj(fml derog 文, 贬) slow to understand; stupid 迟钝的; 愚笨的 He's being deliberately obtuse. 他装糊涂. She cannot possibly be so obtuse. 她不可能如此迟钝. 牛津英汉双解词典
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Obtuse barracuda
The obtuse barracuda, Sphyraena obtusata, a barracuda of the family Sphyraenidae, is found in tropical oceans around the world. wikipedia.org
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Trigonometry / Obtuse angle If $\cos A = 4/5$ and $\sin B = 5/13$, where $A$ is a acute and $B$ is obtuse, find, without evaluating the angles $A$ and $B$, the values of a) $\sin (A-B)$ b) $\cos (A+B)$ I'm stuck f...
trigonometric identity, ie $$\sin^2(x)+\cos^2(x)=1$$ Thus $$\sin(x)=\pm\sqrt{1-\cos^2(x)}$$ $$\cos(x)=\pm\sqrt{1-\sin^2(x)}$$ and remember that the cosine of an obtuse
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Acute and obtuse triangles
An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. opposite for obtuse triangles. wikipedia.org
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The area of an obtuse triangle with the longest side length equal to 10 cannot equal to 25.5 Need to prove that the area of an obtuse triangle with the longest side length equal to 10 cannot be equal to 25.5
Le $AB$ be the longest side: assume that the origin is the midpoint of $AB$ and $AB$ is oriented like the $x$-axis. Since $\widehat{BCA}>\frac{\pi}{2}$, the vertex $C$ belongs to the half-circle: $$ \\{(x,y)\in\mathbb{R}^2:x^2+y^20\\}$$ hence the distance from the $AB$-side is less than $5$ and the ...
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Can a secant-secant angle ever be obtuse? If two secants to a circle are drawn from the same exterior point, can the angle formed between the 2 secants ever be obtuse (or right)? Thank you
Draw your favorite obtuse angle with apex point $D$. Draw its bisector and choose a point $A$ on the bisector. This circle has the legs of your obtuse angle as secant lines.
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Determining cosine with a sin value in an obtuse triangle Angle $x$ is obtuse and $\sin{x} = \dfrac{\sqrt{11}}{6}$ Work out the value of $\cos{x}$ I've gotten as far as noting that the opposite side is equal to $\sq...
The fact that the angle is obtuse says it is in the second quadrant, so $\cos x \lt 0$
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Obtuse triangles in a regular polygon How many triangles formed by three vertices of a regular $17$-gon are obtuse? As an extension, how many triangles formed by three vertices of a regular $n$-gon are obtuse?
Clearly it's $n$ times the number of obtuse triangles with the obtuse vertex fixed at a specific point. This means a triangle is obtuse if its remaining vertices are more than $\frac n2$ segments apart, as $\frac n2\frac\pi n=\frac\pi2$.
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How do I prove that the triangle must be obtuse? Suppose you are given a triangle where the center of the nine-point circle lies on the circumcircle of the triangle. It is obvious that the triangle is obtuse, but how ...
Suppose that your triangle is acute. Then the orthocenter and circumcenter lie in the interior of the triangle. The nine-point center is the midpoint of these two points, hence lies in the interior of your triangle, by convexity. Because the circumcircle intersects the triangle only at the three ver...
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