# In a right-angled triangle ABC, the sides are known AB = 5 BC = 4 AC = 3 find the diameter and height of the body

June 26, 2021 | education

| **In a right-angled triangle ABC, the sides are known AB = 5 BC = 4 AC = 3 find the diameter and height of the body obtained by rotating the indicated triangle around the leg AC BC**

In both cases, when rotating, we get a cone.

1. The cone formed when rotating around the leg of the AC has:

– height h1 = AC = 3;

– base diameter d1 = 2 * BC = 8.

2. The cone formed when rotating around the leg of the BC has:

– height h2 = BC = 4;

– base diameter d2 = 2 * AC = 6.

Answer: in the first version, the base diameter is 8, the height is 3, in the second 6 and 4, respectively.

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