The given figure represents a right square pyramid crystal in a random Joe’s collection. Which best describes all the faces of the pyramid?

1 square and 4 equilateral triangles

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1 square and 3 equilateral triangles

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1 square and 4 isosceles triangles

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1 square and 3 isosceles triangles

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Solution

The correct option is C 1 square and 4 isosceles triangles
We know that a right square pyramid has a square as its base. If we were to draw lines, from each of its vertices to meet at a common point above the square subtending the same angle with the base, we will find that all the lines drawn have equal lengths. Hence, we infer from the given diagram that this pyramid has 1 square and 4 isosceles triangles.

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