Apply the Pythagorean Theorem to determine the height of the square pyramid Round the answer to the nearest tenth. the base is 40ft and the slant is 25ft. what is the height?

Answer 1

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the slant acts as the hypotenuse, and we can represent the height of the pyramid as one of the legs. Let's call the height "h" and the base "b".

Using the Pythagorean Theorem, we have:
b^2 + h^2 = slant^2
40^2 + h^2 = 25^2

Simplifying this equation, we get:
1600 + h^2 = 625

Subtracting 625 from both sides, we have:
h^2 = 1600 - 625
h^2 = 975

Taking the square root of both sides, we get:
h = √975

Rounding this to the nearest tenth, we have:
h ≈ 31.2

Therefore, the height of the square pyramid is approximately 31.2 feet.

Answer 2

so which one is it

Answer 3

this ones for the quick check
1. 15.0
2. 59.5
3. 8.8
4. 9.1
5. 92.9

Answer 4

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Answer 5

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Answer 6

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Answer 7

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Answer 8

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Answer 9

Thank you!

Answer 10

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