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Find the length of the height of the cone.
(1 point)
cm
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
5 months ago
![Uncle moe last name lester](/images/users/0/1/128x128.jpeg)
5 months ago
one the left side 13cm on the bottom d = 10cm
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
5 months ago
To find the length of the height of the cone, we need to use the Pythagorean theorem.
Let's label the height as 'h'.
We are given that one side of the cone is 13 cm and the diameter of the bottom of the cone is 10 cm.
Using the Pythagorean theorem, we have:
h^2 = 13^2 - (10/2)^2
= 169 - 25
= 144
Taking the square root of both sides, we get:
h = √144
= 12 cm
Therefore, the length of the height of the cone is 12 cm.