Correct Answer - Option 4 : 4 cm
Given:
ABC is a right-angled triangle. A circle is inscribed in it.
The length of the two sides containing the right angle are 10 cm and 24 cm
Calculations:
Hypotenuse² = 10² + 24² (Pythagoras theorem)
Hypotenuse = √676 = 26
Radius of the circle (incircle) inside a triangle = ( Sum of sides containing right angle – Hypotenuse)/2
⇒ (10 + 24 - 26)/2
⇒ 8/2
⇒ 4
∴ The correct choice is option 4.