The sides of the triangle are 6 cm, 25 cm, 29 cm. Find the length of the circle inscribed in this triangle.

First, let’s find the area of a triangle using Heron’s formula:
S = √p * (p – a) * (p – b) * (p – c).
p = 1/2 * (a + b + c) = 1/2 * (29 cm + 25 cm + 6 cm) = 30 centimeters.
S = √30 * (30 – 29) * (30 – 25) * (30 – 6) = √30 * 1 * 5 * 24 = √3600 = 60 cm².
The radius of the inscribed circle is: r = S / p.
The next step is to calculate the value that is equal to the radius of the circle using the formula presented above:
r = 60 cm² / 30 cm = 2 cm.
The circumference is: l = 2 * π * r.
Let’s calculate the circumference:
l = 2 * π * 2 cm = 4 * π cm.
Answer: the circumference is 4 * π cm.



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