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A circle is inscribed in a triangle with sides 8 cm, 15 cm, and 17 cm. What is t

Practice Questions

Q1
A circle is inscribed in a triangle with sides 8 cm, 15 cm, and 17 cm. What is the radius of the inscribed circle?
  1. 4 cm
  2. 5 cm
  3. 6 cm
  4. 7 cm

Questions & Step-by-Step Solutions

A circle is inscribed in a triangle with sides 8 cm, 15 cm, and 17 cm. What is the radius of the inscribed circle?
  • Inscribed Circle Radius – The radius of the inscribed circle (inradius) can be calculated using the formula: r = Area / semi-perimeter.
  • Triangle Area Calculation – Understanding how to calculate the area of a triangle using Heron's formula or other methods.
  • Semi-perimeter – The semi-perimeter of a triangle is half the sum of its sides, which is essential for finding the inradius.
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