A right angle triangle shaped piece of hard board is rotated completely about itshypotenuse, as shown in the diagram. The solid so formed is always
Question
A right angle triangle shaped piece of hard board is rotated completely about itshypotenuse, as shown in the diagram. The solid so formed is always
Solution
The solid formed by rotating a right angle triangle about its hypotenuse is always a cone.
Here's the step by step explanation:
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Consider the right angle triangle. The hypotenuse is the longest side of the triangle.
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When this triangle is rotated about the hypotenuse, the other two sides of the triangle trace out a surface in 3D space.
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The shape that is traced out is a cone. This is because the rotation of the sides of the triangle creates a circular base (from the rotation of one side) and a pointed tip (from the rotation of the other side).
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Therefore, the solid formed is always a cone.
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