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The slant height of a pyramid is 46 ft The base is a square with a side length of 24 ft What is the height of the pyramid Round your answer to the nearest tenth?
Megjimerson
If there is a picture, it would be very useful, because the height and slant height are two sides of a right triangle.
A good picture would show that the bottom side of this triangle is half the side length of the square. This is a leg of the right triangle: A=12'
The hypotenuse of the triangle is the slant height: C=46'
The "unknown" height is the other leg of the right triangle: B=?
The pythagorean theorem A2+B2=C2 gives 144sqft+B2=2116sqft
Solving for B gives B=44.4'
Therefore, the height of the pyramid is 44.4 feet.
Wiki User
∙ 13y ago
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