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A circle is inscribed in a triangle. If the sides of the triangle are 7 cm, 8 cm

Practice Questions

Q1
A circle is inscribed in a triangle. If the sides of the triangle are 7 cm, 8 cm, and 9 cm, what is the radius of the inscribed circle?
  1. 3 cm
  2. 4 cm
  3. 5 cm
  4. 6 cm

Questions & Step-by-Step Solutions

A circle is inscribed in a triangle. If the sides of the triangle are 7 cm, 8 cm, and 9 cm, what is the radius of the inscribed circle?
  • Inscribed Circle Radius – Understanding how to calculate the radius of a circle inscribed in a triangle using the area and semi-perimeter.
  • Heron's Formula – Applying Heron's formula to find the area of a triangle when the lengths of all three sides are known.
  • Semi-perimeter – Calculating the semi-perimeter of a triangle as half the sum of its sides.
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