Answer
Verified
422.7k+ views
Hint: In this question we are being told to find the number of diagonals of a triangle. Now the number of diagonals of any n sided polygon can be found out using the direct formula $d = \dfrac{{n\left( {n - 3} \right)}}{2}$ where d is the number of diagonals and n is the number of sides of the polygon.
Complete step-by-step answer:
The general formula for number of diagonals (d) in any figure are
(n-3) multiply by the number of vertices and divide by 2.
$ \Rightarrow d = \dfrac{{n\left( {n - 3} \right)}}{2}$ (Where n is the number of vertices)
As we know in a triangle there are three sides (see figure)
$ \Rightarrow n = 3$
Therefore number of diagonals in a triangle are
$ \Rightarrow d = \dfrac{{n\left( {n - 3} \right)}}{2} = \dfrac{{3\left( {3 - 3} \right)}}{2} = \dfrac{0}{2} = 0$
So the number of diagonals in a triangle are 0.
Hence option (A) is correct.
Note: Whenever we face such types of problems the key concept is simply to have the understanding of the direct formula to find the total number of diagonals. Such types of questions are generally direct formula based thus it is always advised to have a good gist of them. This will help to get on the right track and save a lot of time.
Complete step-by-step answer:
The general formula for number of diagonals (d) in any figure are
(n-3) multiply by the number of vertices and divide by 2.
$ \Rightarrow d = \dfrac{{n\left( {n - 3} \right)}}{2}$ (Where n is the number of vertices)
As we know in a triangle there are three sides (see figure)
$ \Rightarrow n = 3$
Therefore number of diagonals in a triangle are
$ \Rightarrow d = \dfrac{{n\left( {n - 3} \right)}}{2} = \dfrac{{3\left( {3 - 3} \right)}}{2} = \dfrac{0}{2} = 0$
So the number of diagonals in a triangle are 0.
Hence option (A) is correct.
Note: Whenever we face such types of problems the key concept is simply to have the understanding of the direct formula to find the total number of diagonals. Such types of questions are generally direct formula based thus it is always advised to have a good gist of them. This will help to get on the right track and save a lot of time.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE