on geometry lessons in high school we all talked about how to find the area of a right triangle.However, in the school curriculum we have only the most necessary knowledge and learn the most common and standard way of calculating.Are there any unusual ways of finding this magnitude?
As an introduction let us remember what is considered to be a rectangular triangle and denote the concept of space.
angled triangle is called a closed geometric figure, one of the angles is equal to 900. The integral concepts in the definition of a right triangle are the leg and a hypotenuse.Under the legs of the two sides meant that at the point of connection to form a right angle.Hypotenuse - the side opposite the right angle.Direct triangle may be isosceles (two of its sides will have the same value), but will never be equilateral (all sides of the same length).Determination of the height, the median, vectors and other mathematical terms will not investigate in detail.They are easy to find in directories.
direct Triangle Area.Unlike rectangles, usually about the work of the parties in determining the area of a triangle is not valid.Speaking dry language of terms, then the area of the triangle understand this figure to occupy the property part of the plane, expressed as a number.It is difficult to perceive, agree.Let us not try to penetrate deeply into the definition, our goal is not the case.We now turn to the main point - how to find the area of a right triangle?Sami calculation will not produce, we note only the formula.To do this, we define the designations: A, B, C - side of the triangle, legs of - AB, BC.The angle ACB - a straight line.S - area of the triangle, hnn - the height of the triangle, where nn - the party to which it is lowered.
Method 1: How to find the area of a right triangle, if we know the value of the other two sides
S = 0.5 * a * b
Method 2: Find the area of an isosceles right triangle
S = 0.5 * hBC * BC
Method 3: Calculation of the area through a rectangle
complete construction of a right triangle to a square (if the triangle is isosceles) or a rectangle.We get a simple rectangle, consisting of 2 identical right triangles.In this case, the area of one of them will be equal to half the area of the figure obtained.S calculates the product of the sides of the rectangle.Let this value M. The desired value of the area is equal to half of M.
S = 0.5 * M
Method 4 "Pythagorean pants."The famous Pythagorean theorem
We all remember its formulation: "the sum of the squares of the legs ...".But not everyone can say and then some "pants."The fact that the original Pythagoras studied the relationship area of the square built on the sides of the triangle directly.By identifying patterns in the aspect ratio of the squares, and he was able to bring us all known formula.It can be used when the unknown value of one of the parties.
Method 5: How to find the area of a right triangle by Heron's formula
also fairly simple calculation method.The formula involves the expression of the triangle through the numeric values of its sides.For the calculations you need to know the value of all the sides of the triangle.
S = (p-AC) * (p-BC), where p = (AB + BC + AC) * 0.5
Apart from these, there are many other ways to find the value of such a mysterious figure as a triangle.Among them: the calculation method of the inscribed or circumscribed circle, calculation using the coordinates of the vertices, the use of vectors, the absolute value, sine, tangent.
