Triangle plays a very important role in the field of Geometry. Triangle is a geometrical shape which consists of three sides and three angles. The sum of the angles in a triangle is 180 degree. The sides of the triangle may or may not be the same. Depending on this the Triangles are classified as: Equilateral Triangle, Isosceles Triangle and Scalene Triangle.
If all the sides of the triangle are equal then it is an Equilateral Triangle. In a triangle if the three sides are equal, then automatically the three angles will be equal. Here each angle will be of 60 degree as 3x = 180, so ‘x’ will be equal to 60 degree, here ‘x’ is the angle.
If two sides of the triangle are equal then it is a Isosceles Triangle. In a triangle if the two sides are equal, then automatically the two angles will be equal. In a triangle, if no side is equal then the triangle is called as Scalene Triangle. The angles in a scalene triangle are all different.
If we are having a triangle in which all angles are less than ninety degree then this type of articles are called as Acute Angle. If we are having a triangle in which one angle will be of ninety degree then this type of triangle is called as Right Angle triangle. If we are having a triangle in which one side is greater than ninety degree then this type of triangle are called as Obtuse Triangle.
If we are having a right angle triangle but opposite side of the angles are equal then the other angle will be of 45 degree. This type of triangle is called as right angle isosceles triangle. If we are having a triangle with two angles as 45 and 100 and our task is to find the third angle. We can find it very easily as we know that sum of all the angles of triangle is 180. So the third angle can be found as,
45 + 100 + x = 180
145 + x = 180
x = 180 - 145
x = 35
The third angle is 35 degree.
Triangle plays a very important role in the field of Geometry. Triangle is a geometrical shape which consists of three sides and three angles. The sum of the angles in a triangle is 180 degree. This is proved by the theorem given below known as the 'Triangle Sum Theorem'
Sum of all the angles in a triangle is equals to 180 degrees.
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