Question

Please help with this geometry problem. I need it ASAP. Show work

Answer 1

SOLUTION

Given that:

• Edge of the square pyramid = 14 unit
• Slant height of the square pyramid = 25 unit

To Find:

• The height of the square pyramid.

We know that:

In pythagoras theorem.

• H² = P² + B²

Where,

• H = Hypotenuse = 25 unit
• P = Height = Let x
• B = Base = 14/2 = 7 unit

Finding the height of the square pyramid:

⇒ H² = P² + B²

⇒ (25)² = x² + (7)²

⇒ 625 = x² + 49

⇒ x² = 625 - 49

⇒ x² = 576

⇒ x = √576

⇒ x = 24

Hence,

• The height of the square pyramid is 24 unit