6. Find the slant height of the square pyramid.
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1 point
12 cm 10cm l
15.6 cm
13 cm
244 cm
169 cm
To find the slant height of the square pyramid, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle with the base of the pyramid as one side and the height of the pyramid as the other side.
In this case, the base of the pyramid is the side length of the square, which is given as 10 cm. The height of the pyramid is given as 12 cm.
Let's call the slant height of the pyramid "s". We can use the Pythagorean theorem to solve for s:
s^2 = 10^2 + 12^2
s^2 = 100 + 144
s^2 = 244
Taking the square root of both sides:
s ≈ √244
s ≈ 15.6 cm
Therefore, the slant height of the square pyramid is approximately 15.6 cm.