For a right-angled triangle, in which the generatrix of the cone is the hypotenuse, the height and radius of the base are legs, according to the Pythagorean theorem, we can write:
R ^ 2 + H ^ 2 = L ^ 2.
R ^ 2 = L ^ 2 – H ^ 2 = 13 ^ 2 – 12 ^ 2 = 169 – 144 = 25 = 52;
R = 5.
Knowing the radius of the base, we can find its diameter: D = 2 * R = 2 * 5 = 10.
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