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How many triangles exist with the given angle measures 30 and deg 65 and deg 85 and deg?
As many as you like but they will all be scalene triangles from the given interior angles that add up to 180 degrees.
How many triangles exist with the given angle measures degrees 45 degrees and 90 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?
How many triangles exist with the given side lengths 3in, 4in, 2in
What is the relationship between the number of triangles and the sum of the angle measures of the polygon?
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.
What are facts about right triangles?
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.
