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Direction: Write True or False and justify your answer in each of the following :

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

 

 

Answers (1)

Answer : False

Consider a right circular cone, with height = h, radius = r, slant height = l

We know that, in a right triangle, one angle is equal to 90° Using Pythagoras theorem, we know that:

\left ( \text {hypotenuse} ^{2}=\text {base}^{2}+\text {height}^{2}\right )

l^{2}=h^{2}+r^{2}

Thus the statement is False.

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