How many sides does a triangle
In a new lesson from a PROFESSOR we will see How many sides does a triangle. We will start with the concept of triangle, then we will see its properties, to finish with the classification of triangles according to their sides. At the end we will know the Pythagorean Theorem.
The triangles are polygons that are made up of three line segments called sides or by three points that are not aligned called vertices.
the triangles are polygons with three sides, three vertices, and three interior angles. They are the polygons with the fewest sides that exist. Most people know them or call them triangles but their specific name is TRIGONE.
The triangles or trigones we can say that they are geometric figures flat that have three sides that are in contact to each other by means of points that we call vertices. The name is determined because it has three interior angles. We name and classify triangles with respect to their sides and the type of angles they form.
So how many sides does a triangle have? The answer is that
always have three sides and the sum of its interior angles will always be 180°. The vertices are written with uppercase letters, while the sides are written with lowercase letters. The sides are written the same as the vertices.Pythagoras of Samos He is a very important Greek mathematician in the history of mathematics. In the year 500 B.C. roughly, he discovered that there were great relationships between the sides and angles of triangles but specifically of right triangles. Pythagoras set a starting point important in history, developing TRIGONOMETRY, this being a branch of mathematics that studies the relationship between the measure of angles and sides of triangles.
The elements of a right triangle are the two legs and the hypotenuse.
What is the Pythagorean theorem?
It's a theorem that Calculates the length of the sides of a right triangle. The statement of the Pythagorean theorem says:
"In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs"
The formula to calculate the Pythagorean theorem is the following:
- h² = a² + b², where
- h: hypotenuse
- to: hick
- b: leg
similar triangles
Two triangles are similar when all their homologous angles are equal and their homologous sides are proportional.
similarity criteria
- Two triangles are similar if they have two equal sides.
- Two triangles are similar if they have proportional sides.
- Two triangles are similar if they have two proportional sides and the angle formed between them is equal.
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