Q.

How many diagonals a triangle have?

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a

   A triangle has nine diagonals in it.

b

   A triangle does not have any diagonal in it. 

c

   A triangle has four diagonals in it.

d

   A triangle has three diagonals in it.

answer is D.

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Detailed Solution

We have to find the number of diagonals of a triangle.
A triangle is the polygon that contain 3 sides and whose sum of internal angles is equal to 180 °  
 Formula of number of diagonals in a polygon:
d= n n3 2  
 Where, n = number of sides of a polygon.
Identify the number of sides of the said polygon.
Number of sides in a triangle is 2.
d= 6 23 2 3   Since, negative value of number of diagonals is not possible
Hence, a triangle does not have any diagonal in it.
Hence, the correct option is 4.
 
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