Find the slant height of this square pyramid.
1 answer:
Check the picture below.
so, notice, we first use squarish base, to get the diagonal distance, then we use half that, for the triangle you see shaded above, to find the height "h" using the pythagorean theorem on each case.
on the bottom part of the picture, we use that "h" and since it's a square at the bottom, the distance from the center to a side is just 3, then we use the pythagorean theorem to get the slant height "sh".
so, notice, we first use squarish base, to get the diagonal distance, then we use half that, for the triangle you see shaded above, to find the height "h" using the pythagorean theorem on each case.
on the bottom part of the picture, we use that "h" and since it's a square at the bottom, the distance from the center to a side is just 3, then we use the pythagorean theorem to get the slant height "sh".
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Answer:
Step-by-step explanation:
we know that
The lateral area of the cone is equal to
where
r is the radius of the base
l is the slant height
we have
Applying the Pythagoras Theorem find the slant height
substitute in the formula