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famous angles of triangles Any triangle contains three angles, where the sum of the angles of the famous triangles is equal to 180 degrees, regardless of the type of triangle. The triangle is also classified according to the measure of its internal angles. There are three types of triangles. The reference on the concept of the triangle and the statement of the answer to the question posed, and the Pythagorean theorem and its importance and how to prove it will be discussed.

Triangle Definition

A triangle is known as a closed two-dimensional and three-sided shape, it consists of three straight segments whose sides intersect and form the angles and vertices. interior angle, and also the longest side of the triangle corresponds to the largest interior angle, and terms related to the triangle are:[1][2]

  • Head: It is the angle of the triangle, since each triangle has three vertices.
  • Al-Qaeda: Which side of the triangle is a base?
  • The median of the triangle: It is a line extending from the vertex of the triangle to the middle of the opposite side, since the triangle has three of them and they intersect at one point called the center point of the triangle.
  • Height: It is the column extending from the base to the vertex of the triangle opposite it, and there are three different heights and they intersect at a point called the region of the heights or the right center.

Famous Triangles Angles

A triangle is a shape with three sides and consists of three straight segments. The type of triangle depends on the size of the angle and the length of its side. It is divided based on the angles it has, which will be shown as follows:[3]

  • Right-angled triangle: This triangle has one 90 degree angle and two acute angles.
  • obtuse triangle: This triangle consists of two acute angles and an obtuse angle, which measure more than 90 degrees.
  • acute angled triangle This triangle has three acute angles, and one acute angle is less than 90 degrees.

Famous Triangles Angles

  • Scalar triangle: It is a triangle that does not have sides of equal length or equal angles.
  • Equilateral Triangle: It is a triangle with three equal sides and three equal angles, each measuring 60 degrees.
  • isosceles triangle: It is a triangle with two equal sides and two equal angles, which are the base angles.

Types of triangles and their properties

properties of triangles

  • Calculating the angles of a right-angled triangle: A right-angled triangle can be known when one of its angles is 90 degrees. The equation can be explained as follows:

    • x + y + 90 = 180.
    • x + y = 90, since (x, y) are the angles of a right triangle.
  • Calculating the angles of an isosceles triangle: The isosceles triangle is called by this name because the base angles are equal in measure, so the sum of the angles of this triangle can be stated as follows:

    • 2 x x + y = 180, where x is the measure of the base angles, and y is the measure of the vertex angle.
  • Calculating the angles of an equilateral triangle: An equilateral triangle can be described as an equilateral triangle, since each of its angles is always equal to 60 degrees, and therefore:

    • C + C + S = 180. Accept 3% C = 180.
    • Divide both sides by the number 3.
    • It turns out that the value of x = 60 degrees.

How are the angles of famous triangles measured?

The angles of popular triangles can be measured with engineering tools such as using a protractor, or through a digital angle finder, but this finder is not suitable as a technical drawing tool, because the axis will not be flat on paper unlike a protractor, in addition to that it is a stainless steel machine that may be a machine Sharp and not suitable for children’s use.[11]

And here we have come to the conclusion of our article, which bore the question aboutFamous Triangles Angles, where we answered this question, as the concept of the triangle was explained and its most prominent general characteristics. The Pythagorean theorem, its importance, text and some examples of it were also discussed, as well as clarifying the sides of a right-angled triangle.

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