Triangles Unit Test
Question
Use the image to answer the question.
An illustration shows a square pyramid with labeled parts. The front and left faces of the pyramid and base are visible. The back and right faces are not visible. The back and right base edges are not visible but their position is indicated by a dashed line. The left base edge shows a length of 16 feet. A dotted line extends from the interior of the vertex straight down to the center of the base and shows a height of 15. A right angle is indicated where the dotted height line meets the base.
Find the slant height of the square pyramid.
(1 point)
units
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To find the slant height of the square pyramid, we can use the Pythagorean Theorem. We know the height of the pyramid is 15 units and the length of the base edge is 16 units.
Let's label the slant height as "s". We can create a right triangle with the height, base edge, and slant height as the sides.
Using the Pythagorean Theorem, we have:
s^2 = 15^2 + 16^2
s^2 = 225 + 256
s^2 = 481
Taking the square root of both sides:
s ≈ √481
s ≈ 21.93
Therefore, the slant height of the square pyramid is approximately 21.93 units.