The Pythagorean theorem in three dimensions states that in a right-angled triangle in three dimensions, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In a cone, we can consider a right-angled triangle formed by the height of the cone, the slant height, and the radius of the base.
Let's denote the height of the cone as h, the slant height as l, and the radius of the base as r.
According to the Pythagorean theorem, we have:
l^2 = h^2 + r^2
To find the length of the height of the cone (h), we need to know the values of the slant height (l) and the radius of the base (r).
Please provide the values for l and r so that we can calculate the length of the height of the cone.
The pythagorean in three dimensions practice
Find the length of the height of the cone
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1 answer