Height of a triangle is called the straight line lowered from one of its tops, is perpendicular on the straight line supporting the party of a triangle opposite to this top of a triangle. Each triangle has three heights.
Instruction
1. To construct height of an acute triangle, draw the straight line perpendicular to the opposite party from its top. The piece connecting a point of intersection of perpendicular straight lines and top will also be the top of a triangle lowered from assigned altitude. At the same time all three heights of an acute triangle have to lie in a triangle.
2. In case of an obtusangular triangle to construct heights lowered from two of its acute angles it is necessary to continue the straight lines supporting the parties adjacent to an obtuse angle. Height lowered from an acute angle of an obtusangular triangle lies on continuation to opposite top of the party, outside a triangle.
3. If one of corners of a triangle of a straight line, then the party of a triangle adjacent to a right angle (legs) are already its heights (coincide with triangle heights). The third height of a rectangular triangle which is carried out to its hypotenuse lies in limits of the parties of a triangle.
4. To construct height of any triangle take compasses and draw circles from two of its tops, the radius equal to the adjacent party of a triangle. Circles I will have two points of intersection, having connected which, you receive the straight line containing the triangle height which is carried out to its third top.