A circle is inscribed in the triangle. What is its radius?
Consider the following for the next two (02) items that follow :<br>ABC is a triangle right-angled at B. The perimeter of the triangle is 24 cm and the difference between the sum of the perpendicular sides and the hypotenuse is 4 cm.
- A. 1 cm
- B. 1.5 cm
- C. 2 cm ✓
- D. 2.5 cm
Correct Answer: C. 2 cm
Explanation
For a right-angled triangle, the inradius r = \frac{a+c-b}{2}. Since (a+c)-b = 4 is given directly in the problem, r = \frac{4}{2} = 2 cm.
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