Triangle - one of the main figures in geometry.Accepted provide direct triangle (one angle which is equal to 900), and ostro- obtuse (the angles less than or greater than 900, respectively), equilateral and isosceles.In the calculations of various kinds use basic geometric concepts and quantities (sine, median, range, perpendicular, etc.)
theme for our research will be the height of an isosceles triangle.Delve into the terminology and definitions, we will not only briefly outline the main concepts that will be needed to understand the essence.
So isosceles triangle is considered to be a triangle in which the value of the two sides expressed the same number of single (equality of arms).Isosceles triangle can be acute-angled and obtuse, and straight.It can also be equilateral (all sides of the figure are equal).Often you can hear: all equilateral triangles isosceles, equilateral but not all - equilateral.
height of any triangle is considered the perpendicular dropped from the corner to the opposite side of the figure.It acts as a media segment held out of the corner pieces to the center of the opposite side.
The remarkable height of an isosceles triangle?
- If the height, dropped on one side, a median and bisector, this isosceles triangle will be considered, and vice versa: the triangle is isosceles if height lowered by one of the parties is also the bisector and the median.This height is called the primary.
- height dropped to the side (equal) sides of an isosceles triangle, are identical and form two similar figures.
- If you know the height of the isosceles triangle (as, indeed, any other) and the side on which this height has been lowered, it is possible to know the area of the polygon.S = 1/2 * (c * hc)
As used height of an isosceles triangle in the calculations?The properties it held to its base, makes the following assertions hold:
- main height, being both the median divides the base into two equal segments.This allows us to learn the value of the base area of the triangle formed by the height, etc.
- As the perpendicular height of an isosceles triangle can be considered as a party (the leg) of the new right-angled triangle.Knowing the value of each of the parties, based on the Pythagorean theorem (the well-known values of the ratio of the squares of the legs and the hypotenuse), we can calculate the numerical value of the height.
What is the height of the triangle?In general, an isosceles triangle, the height of which we need not ceases to be in nature.Therefore, it does not lose its relevance, all the formulas used for these figures as such.You can calculate the length of height, knowing the angles and hand-size parties and towards the area, as well as a number of other parameters.The height of the triangle is equal to a certain ratio of these values.Give yourself the formula does not make sense to find them easily.Besides, having a minimum of information, you can find the correct values and only then proceed to calculate the height.
