An obtuse triangle
If the numbers mentioned in the question (14, 25, and 141) are referencing the angle measurements in degrees, then this is an obtuse scalene triangle.
Given that the angles in a triangle will always add up to 180°, we can say: a + (a - 14°) + (a - 14° - 4°) = 180° where "a" represents the largest angle. ∴ 3a - 32° = 180° ∴ 3a = 212° ∴ a = 70 2/3 The other two angles can be calculated by subtracting 14 and 4 degrees, giving us 70 and two thirds, 56 and two thirds, and 52 and two thirds.
Plotting the given vertices on the Cartesian plane results in a right angle triangle with angles of 90 degrees, 26.565 degrees and 63.435 degrees including an area of 45 square units.
1 Angles are measured in degrees, minutes and seconds 2 Angles greater than 0 but less than 90 degrees are acute 3 Angles of 90 degrees are right angles 4 Angles greater the 90 but less than 180 degrees are obtuse 5 Angles greater than 180 but less than 360 degrees are reflex 6 Angle of 360 degrees is a full rotation 7 Triangles are 3 sided polygons 8 Triangles have 3 inside angles that add up to 180 degrees 9 Triangles have 3 outside angles that add up to 360 degrees 10 Triangle that is scalene has 3 different acute angles 11 Triangle that is a right angle triangle has a 90 degree angle and 2 acute angles 12 Triangle that is obtuse has 1 obtuse angle and 2 acute angles 13 Triangle that is isosceles has 2 equal base angles and 2 equal sides 14 Triangle that is equilateral has 3 equal inside angles and 3 equal sides 15 Triangles have no diagonals 16 Triangles will tessellate leaving no gaps or overlaps 17 Triangle's area is 0.5*base*perpendicular height 18 Triangle's perimeter is the sum of its 3 sides 19 Triangle as a right angle triangle is subject to Pythagoras' theorem 20 Triangles are subject to the rules of trigonometry 21 Triangles are the corner stones of all other polygons
The sum of the exterior angles is always 360 degrees. The sum of the interior angles is (14-2)(180 degrees) or 12x180 which is 2160 degrees.
It graphs out as a right angle triangle with a perimeter of 35 inches rounded to the nearest inch with a 90 degree angle and two acute angles of 26.6 degrees and 63.4 degrees both rounded to 3 significant figures.
Sum of exterior angles: 360 degrees Sum of interior angles: 2160
360 degrees
The exterior angles of a 14 sided polygon add up to 360 degrees
To solve this class of problems, understand that a triangle has 180 degrees in the interior angles. A quadrilateral has 360. Add 180 degrees for each additional side. The equation is d = 180 * (n-2). For a 16 sided figure, d = 180 * 14 = 2520.Sum of interior angles = (2N - 4) right angles. Here it would be (2 x 16 - 4) right angles = 28 x 90 = 2520 degrees
The sum of the exterior angles of any polygon (however many sides) is 360 degrees. IF it is a regular 14-gon, each exterior angle is 360/14 = 25.71 degrees.
Vertices: (5, 9) (14, -3) (2, 3) it plots out as a right angle triangle with dimensions:- Hypotenuse: 15 Adjacent: sq rt of 180 Opposite: sq rt of 45 Using trigonometry its interior angles are: 26.6 degrees, 63.4 degrees and 90 degrees