Apply the Pythagorean theorem to determine the height is the square pyramid, h round the answer to the nearest tenth

5 answers

To apply the Pythagorean theorem to determine the height of a square pyramid, we need the length of the base and the slant height.

Let's say the length of each side of the square base is "s" and the slant height of the pyramid is "l". We can use the Pythagorean theorem to express the relationship between these variables.

According to the Pythagorean theorem, the sum of the squares of the two legs of a right triangle (in this case, the height "h" and half the side "s/2") is equal to the square of the hypotenuse (slant height "l").

So, we have:

(h^2) + ((s/2)^2) = l^2

Now, if you have the values of "s" and "l", you can solve this equation for "h" by substitution and then round the answer to the nearest tenth.
here are the answers
1. 15.0
2. 59.5
3. 8.8
4. 9.1
5. 92.9
hope this helps! I just took this and got a 100
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A drawing shows a circle showing diameter below a sector of a circle showing slant height. A double-headed arrow crossing the center of the circle is labeled as d equals diameter. A dotted double-headed arrow is drawn from the top point of the sector of the circle to a point along the curved edge. The arrow is labeled as lower L equals slant height. Chem Tech makes paper cones used to filter liquids in lab experiments. To make the paper cones, the company starts with the net of the shape, where the slant height is needed. The company wants the height of the cones to be 6 cm. If they make the diameter 13 cm, what must the slant height be? Use the Pythagorean Theorem and round the answer to the nearest tenth.
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