Table of Contents
What is the rule for obtuse triangle?
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Can multiple angles be obtuse?
An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. …
How many triangles are in obtuse?
one obtuse angle
There can only be one obtuse angle in any triangle. This is because the measures of the interior angles of a triangle always must add up to 180…
Does the sine law work for obtuse triangles?
The sine rule is also valid for obtuse-angled triangles. = for a triangle in which angle A is obtus. We can use the extended definition of the trigonometric functions to find the sine and cosine of the angles 0°, 90°, 180°. Hence the tangent of an obtuse angle is the negative of the tangent of its supplement.
Can cosine law be used for obtuse triangles?
In general, the cosine of an obtuse angle is the negation of the cosine of its supplement. In this case that means the cosine of angle C, that is to say angle ACB, is the negation of the cosine of angle ACD. Thus, the law of cosines is valid when C is an obtuse angle.
Can a triangle be obtuse and scalene?
A scalene triangle can be acute-angled or obtuse-angled or right-angled.
Can a triangle have two obtuse angles?
We have the property that the sum of the angles of a triangle is always 180∘ . Obtuse angle is an angle which has magnitude more than 90∘ . So adding that two angles only we will get 180∘ or more than that. Hence having two angle obtuse, construction of a triangle is not at all possible.
How many obtuse angles does a square have?
There are no obtuse angles in a square. A square is a type of quadrilateral, which means it has four sides and four angles.