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The cross section of a square pyramid taken perpendicular to the base that passes through the top vertex produces which two-dimensional shape?

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The cross section of a square pyramid taken perpendicular to the base that passes through the top vertex produces which two-dimensional shape is "isosceles triangle."

What is isosceles triangle?

An isosceles triangle is one with two equal-length sides.

Here is a list of some isosceles triangle properties:

  • There are two equal sides & two equal angles.
  • The legs of an isosceles triangle are the two equal sides, and the angle between them is known as the vertex angle.
  • The base angle would be the side opposite a vertex angle, & base angles have been equal.
  • The base & the vertex angle are bisected by the perpendicular from of the vertex angle.
  • The perpendicular drawn from vertex angle divides this same isosceles triangle in to the two congruent triangles and it is also known as the line of symmetry of the isosceles triangle.

Now, according to the question.

It is given that a pyramid with a square base This means that this pyramid does have triangles on the slant side.

But, though if we split a cross section through the top vertex of this pyramid that is perpendicular to a base, we have an isosceles triangle for whom base length equals the side of the square at the base and the other two equal sides' length equals the slant height of the pyramid.

To know more about isosceles triangle, here

https://brainly.com/question/1475130

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