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Applying the Pythagorean Theorem Formula to 3-DIMEnSIONAL FIGURES EXAMPLE 6: When given a 3D figure and asked to find a qquad along or inside the figure, check to see if a qquad triangle can be formed with the information given. If so, use qquad theorem to solve for the missing distance. (1) The cone below has a slant height of 13 inches and the radius of the base of the cone is 5 inches. What is the height ( h ) of the cone? Show your work. Height of the Cone: qquad

Applying the Pythagorean Theorem Formula to 33-DIMEnSIONAL FIGURES\newlineEXAMPLE 66:\newlineWhen given a 33D figure and asked to find a \qquad along or inside the figure, check to see if a \qquad triangle can be formed with the information given. If so, use \qquad theorem to solve for the missing distance.\newline(11) The cone below has a slant height of 1313 inches and the radius of the base of the cone is 55 inches. What is the height ( h h ) of the cone? Show your work.\newlineHeight of the Cone: \qquad

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Q. Applying the Pythagorean Theorem Formula to 33-DIMEnSIONAL FIGURES\newlineEXAMPLE 66:\newlineWhen given a 33D figure and asked to find a \qquad along or inside the figure, check to see if a \qquad triangle can be formed with the information given. If so, use \qquad theorem to solve for the missing distance.\newline(11) The cone below has a slant height of 1313 inches and the radius of the base of the cone is 55 inches. What is the height ( h h ) of the cone? Show your work.\newlineHeight of the Cone: \qquad
  1. Create Right Triangle: We can use the Pythagorean Theorem in 33D by creating a right triangle with the slant height, rr, and height of the cone.
  2. Apply Pythagorean Theorem: The Pythagorean Theorem is a2+b2=c2a^2 + b^2 = c^2, where cc is the hypotenuse. In this case, the slant height is the hypotenuse (cc), the radius is one leg (aa), and the height (hh) is the other leg (bb).
  3. Plug in Values: Let's plug in the values: 52+h2=1325^2 + h^2 = 13^2. That's 25+h2=16925 + h^2 = 169.
  4. Solve for h2h^2: Now, we solve for h2h^2: h2=169−25h^2 = 169 - 25. So, h2=144h^2 = 144.
  5. Find hh: Finally, we find hh by taking the square root of 144144. So, h=144h = \sqrt{144}, which means h=12h = 12.

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