Define triangle classify the triangle on the basis of measures of their angle .
Answers
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted /\triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Triangles can be classified by their angles. In an acute triangle, all three angles are acute (less than 90 degrees). A right triangle contains one right angle and two acute angles. And an obtuse triangle contains one obtuse angle (greater than 90 degrees) and two acute angles. And an isosceles triangle has two congruent angles. Additionally, an equilateral triangle not only has three congruent sides but also three congruent angles all measuring 60 degrees. Likewise, an equilateral triangle is also an acute triangle.
In addition, we can find angle measures for both the interior and exterior angles with the Triangle Sum Theorem and the Exterior Angle Theorem.
The Triangle Sum Theorem also referred to as the Angle Sum Theorem, says that the sum of the measures of the three interior angles in a triangle is always 180°.
The Exterior Angle Theorem tells us that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent angles (sometimes called remote interior angles).