The base of a triangle is that side of the 3 sides of a triangle which one is the perpendicular to the altitude.
There are many kind of triangles, they are categorized as Equilateral triangle (3 of whose sides are equal in length and each angle is 60o ), Isosceles triangle (Two of whose sides are equal in length), Scalene (none of whose sides or angles are equal)
Now, Isosceles triangles are also have further divided into some categories, those are – Acute angled, right angled, obtuse angled. Scalene triangles are also have further divided into some categories - those are – Acute angled, right angled, obtuse angled.
Various Kinds of Triangles and the Circulation of their Bases
Right angled triangle and its base :
First we will deal with the easiest one - the right angled triangle . the picture below describes the base of a triangle
b - base of the triangle.
Base of a EquilateralTriangle :
This kind of triangle has a typical story . Any one of the 3 sides can be taken as a base if we do rotate the triangle keeping any of the sides perpendicular to the altitude.
Base of a Scalenetriangle:
The side perpendicular to the base is called the base of the triangle.
Here b is the base of the triangle.
Example Problems - Base of a Triangle:
1)Find the base of the equilateral triangle shown below
solution for base of a triangle:
given side = 5 and Height = 4
consider one half of the triangle,
by using Pythagoras theorem,
a^2=b^2+c^2
b =`sqrt(a^2-c^2)`
b = `sqrt(25 -16)`
b = `sqrt(9)`
b = 3.
Therefore the base 2b = 6
6 is the base of the triangle.
2) Find the base of the triangle shown below
The given figure is a right angled triangle.
So we use Pythagorean theorem,
a^2=b^2+c^2
b =`sqrt(a^2-c^2)`
b = `sqrt(625 -46)`
b = `sqrt(576)`
b = 24.
