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A circle is inscribed in a triangle with sides of lengths 7 cm, 8 cm, and 9 cm.

Practice Questions

Q1
A circle is inscribed in a triangle with sides of lengths 7 cm, 8 cm, and 9 cm. What is the radius of the inscribed circle?
  1. 4 cm
  2. 3 cm
  3. 2 cm
  4. 5 cm

Questions & Step-by-Step Solutions

A circle is inscribed in a triangle with sides of lengths 7 cm, 8 cm, and 9 cm. What is the radius of the inscribed circle?
  • Semi-perimeter – The semi-perimeter of a triangle is half the sum of its side lengths, used in various triangle-related calculations.
  • Heron's Formula – A formula to calculate the area of a triangle when the lengths of all three sides are known.
  • Inradius – The radius of the inscribed circle of a triangle, calculated using the area and semi-perimeter.
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