A triangle is created of three line segments. The heat segments intersect in their endpoints. To surname a triangle we regularly use its vertices (the surname of the endpoints). The triangle below is called ABC.

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A triangle has three angles. The sum of the procedures of the angles is constantly 180° in a triangle.

We have different varieties of triangles. A triangle is divide by its angles and also by the number of congruent sides.

A triangle that has three acute angels is dubbed an acute triangle.

A triangle that has actually one right angle is dubbed a right triangle.

A triangle that has actually one obtuse edge is dubbed an obtuse triangle.

When a triangle has actually three congruent sides, we call the triangle an equilateral triangle. We mark the congruent sides by a cut mark. The angles in an it is provided triangle are constantly 60°.

When a triangle has two congruent sides it is dubbed an isosceles triangle. The angles opposite to the two sides the the same size are congruent.

A triangle without any congruent sides or angle is dubbed a scalene triangle.

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When 2 triangles are congruent it means that they have actually the very same size and shape. This way that they have the same angles. The red cut marks present us i beg your pardon sides and angles that room congruent Congruency is displayed by this symbol

$$cong$$

$$eginmatrix Acong X & & ABcong XY\ Bcong Y & & BCcong YZ\ Ccong Z & & ACcong XZ endmatrix$$

Triangles that have actually congruent angles however not the exact same size are called similar. Comparable triangles have actually sides that are proportional. Similarity is shown by this symbol

$$sim$$

$$igtriangleup ABCsim igtriangleup XYZ$$

$$A=X,: : B=Y,: : C=Z$$

$$fracax=fracby=fraccz$$

**Example**

Find x in the similar triangles.

We know that because the triangle are similar the sides room proportional which means that

$$fracx14=frac321Rightarrow$$

$$x=frac14cdot 321=frac4221=2$$

$$x=2$$

**Video lesson**

Find out whether the triangles are right, isosceles, acute, scalene, obtuse or equilateral