Triangle is one of the basic figures of planimetry. It is with him that the study of real, in a sense, geometry begins in the school curriculum. Depending on the type of angles, this type of figure can be divided into several types. When solving problems, the rectangular one is usually considered the easiest. For it, 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 (any one except for the right one).
However, if only this kind of triangle existed, the lives of middle and high school students would be much easier and more carefree. But it's not. Each figure 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: what is it and what is it eaten with?
The isosceles triangle is very similar to the favorite of Pythagoras, which was mentioned in the introduction. Even a fifth grader will understand the rules related to its construction or finding unknown elements. The main thing -be well versed in the basic concepts of geometry and the basic elements of flat figures.
The properties of an isosceles triangle emerge from its structure. The two angles at the base of such a polygon are the same, as are the sides. Immediately from this information, you can draw a certain conclusion. In order to find the degree measure of the top, knowing one of the angles 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 at the base, are called side.
Basic property of an isosceles triangle
Rules, as such, this figure has no - everything in the tasks 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 you build such a triangle on paper according to all the rules, you will notice that the line in the center is not only a median, but also a height and a bisector.
Median in an isosceles triangle
The straight line drawn from the top to the bottom will not be so unambiguous. Its properties are determined by the main features of an isosceles triangle. Lowered from the corner of the top to the base, it creates two equal triangles, and forms a perpendicular with the base, which divides it into equal segments. Do not confuse this type of triangles with equilateral ones (this mistake is often made by students). They have three identical corners, not two like here.
