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Question

The faces of a regular triangular pyramid are:


A

Congruent

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B

Similar

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C

Congruent but not similar

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D

None of these

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Solution

The correct options are
A

Congruent


B

Similar


In a regular triangular pyramid, all of its faces are triangles.
(The base is an equilateral triangle and the lateral faces are triangles in a pyramid)
All the edges are equal in length.
Hence the triangles formed by all the faces are congruent triangles.
All congruent triangles are similar.
Therefore, the faces of a regular triangular pyramid are congruent and similar.


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