The length of the pyramid is 10 meters.
To find this, we can use the Pythagorean theorem. The perpendicular height, slant height, and half of the base form a right triangle.
We can calculate the length using the formula:
length² = (half of base)² + height²
length² = 3² + 8.8²
length² = 9 + 77.44
length² = 86.44
length = √86.44
length ≈ 9.3 meters
Therefore, the length of the pyramid is 10 meters.
Use the image to answer the question.
An illustration shows a pyramid with a rectangular base of length 6 meters and width 2 meters. The perpendicular height from the apex to the center of the base is labeled 8.8 meters. The slant height from the apex to the center of the width of the rectangle is labeled 9 meters. Both heights are drawn as dotted lines. The sides that are not visible are shown in dashed lines.
What is the length of the pyramid?
(1 point)
m
3 answers
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Apologies for the mistake in my previous response. Let me correct it:
To find the length of the pyramid, we need to consider the right triangle formed by half the base (which is half of 6 meters = 3 meters), the perpendicular height (8.8 meters), and the slant height (9 meters).
Using the Pythagorean theorem:
length² = (half of base)² + height²
length² = 3² + 8.8²
length² = 9 + 77.44
length² = 86.44
length ≈ √86.44
length ≈ 9.3 meters
Therefore, the length of the pyramid is approximately 9.3 meters.
To find the length of the pyramid, we need to consider the right triangle formed by half the base (which is half of 6 meters = 3 meters), the perpendicular height (8.8 meters), and the slant height (9 meters).
Using the Pythagorean theorem:
length² = (half of base)² + height²
length² = 3² + 8.8²
length² = 9 + 77.44
length² = 86.44
length ≈ √86.44
length ≈ 9.3 meters
Therefore, the length of the pyramid is approximately 9.3 meters.