/ / Properties of an isosceles triangle and its components

Properties of an isosceles triangle and its components

The triangle is one of the main planimetric figures.It is with him in the school curriculum begins the study of this, in some sense, geometry. Depending on the type of angles, this type of figures can be divided into several types. When solving problems the easiest is usually considered rectangular. For him, there are many theorems, rules, as well as trigonometric functions that allow you to find any leg or hypotenuse, knowing only the length of one of the sides and the angle (whatever except for the direct one).

However, if there were only this kindtriangles, the lives of middle and high school students would be much easier and more carefree. But it is not. Each shape that geometry studies has its own characteristics and properties. In order to confidently solve problems, you need to know the properties of all polygons.

isosceles triangle

Equilateral triangle: what is it and what is it eaten with?

Equal triangle is very similar to the petPythagoras, which was mentioned in the introduction. The rules related to its construction or the finding of unknown elements will be understood even by a fifth-grader. The main thing is to navigate well in the basic concepts of geometry and the basic elements of flat figures.

Properties of an isosceles triangle pop upfrom its structure. The two corners at the base of such a polygon are the same as the sides. Immediately from this information, you can make a certain conclusion. In order to find the degree measure of the vertex, knowing one of the corners of the base, you need to multiply it by two and subtract from 180 °. Two sides, the extreme points of which are at the top and on the base, are called lateral.

The main property of an isosceles triangle

Rules, as such, this figure does not have - all intasks comes from its construction, making it understandable and convenient for students. However, there is one main feature that can be called the property of the median of an isosceles triangle. It's all about her dual nature. If on paper to build such a triangle by all the rules, then you will notice that the line in the center is not only the median, but also the height and the bisector.

side triangle designation

Median in an isosceles triangle

Прямая, которую проводят от вершины до основания, will not be so straightforward. Its properties are determined by the main features of an isosceles triangle. Dropped from the corner of the vertex to the base, it creates two equal triangles, and with the base it forms a perpendicular that divides it into equal segments. One should not confuse this type of triangles with equilateral (often students make such a mistake). They have three identical angles, not two, like here.

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