Please help with this geometry question ASAP. Also please show work
1 answer:
Answer:
- The height of the square pyramid is 24 unit.
Step-by-step explanation:
<u>Given that</u>:
- Edge of the square pyramid = 14 unit
- Slant height of the square pyramid = 25 unit
<u>To Find</u>:
- The height of the square pyramid.
<u>We know that</u>:
In pythagoras theorem.
Where,
- H = Hypotenuse = 25 unit
- P = Height = Let x
- B = Base = 14/2 = 7 unit
<u>Finding the height of the square pyramid</u>:
⇒ H² = P² + B²
⇒ (25)² = x² + (7)²
⇒ 625 = x² + 49
⇒ x² = 625 - 49
⇒ x² = 576
⇒ x = √576
⇒ x = 24
<u>Hence</u>,
- The height of the square pyramid = 24 unit
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