A triangle is written of 3 line segments. The heat segments crossing in your endpoints. To surname a triangle we often use the vertices (the surname of the endpoints). The triangle listed below is called ABC.

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A triangle has three angles. The sum of the measures of the angles is always 180° in a triangle.

We have actually different species of triangles. A triangle is divide by its angles and by the variety of congruent sides.

A triangle that has actually three acute angels is referred to as an acute triangle.

A triangle that has actually one ideal angle is referred to as a best triangle.

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

When a triangle has three congruent sides, we contact the triangle an it is provided triangle. We mark the congruent political parties by a slash mark. The angle in an it is provided triangle are always 60°.

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

A triangle without any type of congruent sides or angle is called a scalene triangle.

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When 2 triangles space congruent it means that they have the very same size and also shape. This way that they have the exact same angles. The red cut marks show us i beg your pardon sides and also 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 congruent angles but not the same size are dubbed similar. Similar triangles have sides that are proportional. Similarity is displayed 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 due to the fact that the triangles are comparable the sides room proportional which way that

$$fracx14=frac321Rightarrow$$

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

$$x=2$$

**Video lesson**

Find the end whether the triangles space right, isosceles, acute, scalene, obtuse or equilateral