find the length of the heght of the cone one side is 13cm and the other is 10 cm
To find the height of the cone, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Letting h be the height of the cone, we have:
h^2 = 13^2 - 10^2
h^2 = 169 - 100
h^2 = 69
h ≈ 8.31 cm
Therefore, the height of the cone is approximately 8.31 cm.