Question

Lateral faces of a square pyramid are equilateral triangles and its base area is 144sq.cm. Find it's slant height.

Answer 1

Given shape is square pyramid with equilateral triangle.

Let the side length of the square be a cm.

Given that base area = 144cm²

\(\therefore\) a2 = 144 cm²

⇒ a = 12 cm

\(\therefore\) sides of equilateral triangle is 12 cm.

\(\therefore\) slant height = 12 cm