In the previous post we have discussed about Explain Analytic Geometry and In today's session we are going to discuss about How to Find Altitude. Altitude of a triangle is a straight line through the top point or it is generally called vertex and or you can say that altitude is a line which makes right angle or is perpendicular with the line opposite of the triangle or base. This line which consists of the opposite side of any triangle is called the extended base of the altitude. The foot of the altitude is the point where the intersection between the extended base and the altitude takes place. And another term that is the length of the altitude is the distance between the base and the vertex of any triangle. If we want to draw an altitude from the vertex of the triangle to the foot of the triangle, then it can be done by the process known as dropping.
Dropping of an altitude is a special case of the orthogonal projection. An altitude is the shortest distance from the vertex of a triangle to the opposite side or base of that triangle.
Three altitude of a triangle intersect at a single point which is called as an orthocenter.
Altitude can also be used to calculate the area of a triangle by using the formula: ½ bh, where b and h are the lengths of the base and the altitude respectively. The altitudes are related with the sides via many theorems like in radius theorems, equilateral triangle theorem and area theorem etc. , and we have one very important formula called Heron’s formula which relates the sides and altitude of a triangle.
One thing is proved here and which that the longest altitude of a triangle is always perpendicular to the shortest side of the same triangle.
The foot of the altitude is the midpoint of the base of the triangle in case of an isosceles triangle. And the altitude also divides the angle of vertex or form the angle bisector of the vertex.
In order to get help on the topics altitude, integral table and icse board sample papers for class 12, you can visit our next article.
Dropping of an altitude is a special case of the orthogonal projection. An altitude is the shortest distance from the vertex of a triangle to the opposite side or base of that triangle.
Three altitude of a triangle intersect at a single point which is called as an orthocenter.
Altitude can also be used to calculate the area of a triangle by using the formula: ½ bh, where b and h are the lengths of the base and the altitude respectively. The altitudes are related with the sides via many theorems like in radius theorems, equilateral triangle theorem and area theorem etc. , and we have one very important formula called Heron’s formula which relates the sides and altitude of a triangle.
One thing is proved here and which that the longest altitude of a triangle is always perpendicular to the shortest side of the same triangle.
The foot of the altitude is the midpoint of the base of the triangle in case of an isosceles triangle. And the altitude also divides the angle of vertex or form the angle bisector of the vertex.
In order to get help on the topics altitude, integral table and icse board sample papers for class 12, you can visit our next article.
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