r = \frac{A}{s} = \frac{54}{18} = 3 \text{ cm}
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- The semi-perimeter \(s\) of the triangle is:
- s = \frac{9 + 12 + 15}{2} = 18 \text{ cm}
- The radius \(r\) of the inscribed circle is given by:
- Thus, the radius of the inscribed circle is \(\boxed{3}\).
- A circle is inscribed in a triangle with sides measuring 7 cm, 24 cm, and 25 cm. Calculate the area of the inscribed circle.
- First, verify that the triangle is a right triangle using the Pythagorean theorem:
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