Answer:
- The height of the square pyramid is 24 unit.
Step-by-step explanation:
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.
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 = 24 unit
