Write whether True or False and justify your answer

In a right circular cone, height, radius and slant height do not always be sides of a right triangle.


We have


This is a right circular cone, with


Height = h


Radius = r


And slant height = l


We know, AOB = 90°


So by using Pythagoras theorem in ∆AOB, we can write


AB2 = AO2 + OB2


l2 = h2 + r2


This justifies that height, radius and slant height of cone can always be the sides of a right triangle.


Hence, it is true.


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