In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude. The altitude is the shortest distance from the vertex to its opposite side. The 3 altitudes always meet at a single point, no matter what the shape of the triangle is. The point where the 3 altitudes meet is called the ortho-centre of the triangle. The altitude of a triangle is also known as the height of the triangle. In triangle ABC, AD is the altitude which is a perpendicular line drawn from the vertex A to the point D in the opposite side BC.
The orthocenter is the point where all the three altitudes of the triangle cut or intersect each other. Here, the altitude is the line drawn from the vertex of the triangle and is perpendicular to the opposite side. Orthocenter indicates the center of all the right angles from the vertices to the opposite sides i.e., the altitudes. The term ortho means right and it is considered to be the intersection point of three altitudes drawn from the three vertices of a triangle. There is no direct formula to calculate the orthocenter of the triangle. It lies inside for an acute and outside for an obtuse triangle. Altitudes are nothing but the perpendicular line ( AD, BE and CF ) from one side of the triangle ( either AB or BC or CA ) to the opposite vertex
There are a maximum of three altitudes for a triangle. The altitude of a triangle is perpendicular to the opposite side. Thus, it forms 90 degrees angle with the opposite side. Depending on the type of triangle, the altitude can lie inside or outside the triangle. The altitude of a triangle is the perpendicular line segment drawn from the vertex of the triangle to the side opposite to it. The altitude makes a right angle with the base of the triangle that it touches. The altitude is the shortest distance from the vertex to its opposite side. The 3 altitudes always meet at a single point, no matter what the shape of the triangle is. The point where the 3 altitudes meet is called the ortho-centre of the triangle. The basic formula to find the area of a triangle is: Area = 1/2 × base × height, where the height represents the altitude. Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.
The circle is the simplest and best known conic section. As a conic section, the circle is the intersection of a plane perpendicular to the cone's axis. is the circle's center also spelled as centre. The diameter (D) is twice the length of the radius. A circle is formed when the plane is parallel to the base of the cone. Its intersection with the cone is therefore a set of points equidistant from a common point (the central axis of the cone), which meets the definition of a circle. The equation of a circle is (x - h)2 + (y - k)2 = r2 where r is equal to the radius, and the coordinates (x,y) are equal to the circle center. The variables h and k represent horizontal or vertical shifts in the circle graph.
A conic section can also be described as the locus of a point P moving in the plane of a fixed point F known as focus (F) and a fixed line d known as directrix (with the focus not on d) in such a way that the ratio of the distance of point P from focus F to its distance from d is a constant e known as eccentricity. Now,
So, eccentricity is a measure of the deviation of the ellipse from being circular. Suppose, the angle formed between the surface of the cone and its axis is β and the angle formed between the cutting plane and the axis is α, the eccentricity is;
e = cos α/cos
The nine-point center forms the center of a point reflection that maps the medial triangle to the Euler triangle, and vice versa. According to Lester's theorem, the nine-point center lies on a common circle with three other points: the two Fermat points and the circumcenter. One way to find the center of the nine point circle (O) is to find the midpoint f the segment that connects the orthocenter (H) and the circumcenter (N), which is the intersection point of the perpendicular bisectors of each side of the original triangle.
Answer: In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude.
Answer: The altitude makes a right angle with the base of the triangle that it touches. It is commonly referred to as the height of a triangle and is denoted by the letter 'h'. It can be measured by calculating the distance between the vertex and its opposite side.
Answer: A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex. In the figure, AD is the median that divides BC into two equal halves, that is, DB = DC.
MS in Statistics...
I am skilled in creative writing to craft any kind of assignment especially essays, thesis and dissertations of any kind...
360 Completed Orders
45 Student Reviews
Msc in Nursing fro...
I am in this field for 15 years, which helps me come up with unique topics and cases for students’ papers. I have comp...
400 Completed Orders
125 Student Reviews
I took a MBA degre...
Along with an in-depth knowledge in marketing I am also skilled in composing assignments especially case studies with pr...
300 Completed Orders
51 Student Reviews
MS in Computer Sci...
I boast excellent observation and analysis skills. I am excellently thorough with the subject knowing all the aspects, a...
400 Completed Orders
42 Student Reviews
Masters in Account...
I am thorough with the changing financial scenario in US and the factors behind it. I am also updated with the changing ...
250 Completed Orders
34 Student Reviews
M.sc in Electronic...
Allotting responsibilities and giving directions on achieving the targets within the team. Excellent research and creati...
350 Completed Orders
45 Student Reviews
MS in Biology...
I am skilled to do research to find proper content for research papers, thesis and dissertation. I give only verified co...
200 Completed Orders
56 Student Reviews