As many as you like but they will all be scalene triangles from the given interior angles that add up to 180 degrees.
As many as you like because any triangle that has a 90 degree angle is always a right angle triangle.
How many triangles exist with the given side lengths 3in, 4in, 2in
In a polygon with n sides, the sum of the interior angles is given by (n-2) * 180 degrees. Each triangle has interior angle sum of 180 degrees. Therefore, the number of triangles that can be formed in a polygon is equal to (n-2) * 180 / 180, which simplifies to (n-2). In other words, the number of triangles is two less than the number of sides in the polygon.
The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
As many as you like but they will all be scalene triangles formed by the given angles that add up to 180 degrees
As many as you like but they will all be scalene triangles from the given interior angles that add up to 180 degrees.
As many as you like because any triangle that has a 90 degree angle is always a right angle triangle.
It is a scalene triangle that would have the given angles.
It is impossible to find a triangle if only angle measures are given (all similar triangles have the same angles).
No triangle exists with the given angle measures. None because the given angles add up to 190 degrees and the 3 angles in any triangle add up to 180 degrees.
How many triangles exist with the given side lengths 3in, 4in, 2in
In a polygon with n sides, the sum of the interior angles is given by (n-2) * 180 degrees. Each triangle has interior angle sum of 180 degrees. Therefore, the number of triangles that can be formed in a polygon is equal to (n-2) * 180 / 180, which simplifies to (n-2). In other words, the number of triangles is two less than the number of sides in the polygon.
True. Only if the given angle is between the two sides will the two triangles guarantee to be congruent (SAS), unless the given angle is a right angle (90°) in which case you now have RHS (Right-angle, Hypotenuse, Side) which does guarantee congruence.
The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
With trigonometry by using the cosine rule
With trigonometry by using the cosine rule