A triangle is one of the basic figures of planimetry. It is with him in the school curriculum that the study of real, in a sense, geometry begins. Depending on the type of corners, 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 (any one except for the straight line).
However, if only this kind of triangles existed, the life of high and high school students would be much simpler and carefree. But this is not so. 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 does it eat with?
The isosceles triangle is very similar to the favorite of Pythagoras, which was mentioned in the introduction. The rules associated with its construction or finding unknown elements, even a fifth grader will understand. The main thing is to navigate well 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 the sides. Immediately from this information we can draw a definite conclusion. In order to find the degree measure of the peak, 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 bottom, are called side.
The main property of an isosceles triangle
This figure does not have rules as such - everything in tasks comes from its construction, making it clear 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 according to all the rules, you can see that the line in the center is not only the median, but also the height and the bisector.
Median in an isosceles triangle
The straight line, which is drawn from the top to the bottom, will not be so unambiguous. 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 forms a perpendicular, which divides it into equal segments. This kind of triangles should not be confused with equilateral triangles (often such a mistake is made by students). They have three identical angles, and not two, as here.