Geometrical problems of any level of high level of complexity assume presence at the person of ability to solve elementary problems. Otherwise the possibility of obtaining the required result considerably decreases. Besides process of almost intuitive fumbling of the correct way conducting to a result necessary to you you with need have to be able to count the areas, to know a large number of auxiliary theorems, to freely carry out calculations in the coordinate plane.
Instruction
1. Use a formula for calculation of length of a piece if in your task coordinates of tops of a triangle are in an explicit form set. For this purpose do a number of simple steps. At first calculate a difference between coordinates of the corresponding points on abscissa axis and ordinate axis. Square the received results and summarize. The square root from the resulting size will also be the required length of a piece.
2. Analyze all these tasks if there are no tasks given for the simple decision. Write out separately everything that is listed in a condition. Pay attention to type of the described triangle. If he rectangular, then to you is enough to know coordinates of two tops: you will be able to find length of the third party, having used Pythagoras's formula. Also the situation becomes simpler during the work with isosceles or equilateral triangles.
3. Pay attention to some characteristic elements of a condition which comprise the hint. For example, in the text it can be mentioned that the top of a triangle lies on one of axes (that already gives you information on one of coordinates), passes through the beginning of coordinates. It is important to write out all this to possess full information.
4. Do not forget about the formulas allowing to express the parties of a triangle through other its elements and also about the existing proportional relations. To number of the minimum auxiliary equations which to you will be useful, belong formulas for finding of height, a median and a bisector of triangles. Besides, remember that two parties of a triangle are in the same relation to each other, as well as pieces into which the bisector which is carried out to its third party breaks.
5. Be ready that if you use any given formulas or theorems in the decision, you can ask to prove them or to describe the procedure of a conclusion.