CAT 2019 Geometry & Mensuration Question (Hard)

Question

The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being 20 cm. The vertical height of the pyramid, in cm, is

Accepted Answer

Step 1 Understand the geometry Let - O be the center of the square base. - V be the apex top vertex of the pyramid. - The triangle formed by any face is equilateral all sides 20 cm - Let A be the midpoint of any side of the square base. - Then, triangle VOA is a right triangle - VA slant height heig

CAT 2019

Quantitative

Geometry & Mensuration

Hard

The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being 20 cm. The vertical height of the pyramid, in cm, is

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