ABC is a right angled triangle, right angled at A. A circle is inscribed in it. The lengths of two sides containing the right angle are 48 cm and 14 cm. The radius of the inscribed circle is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 6cm
The inradius of an right-angled triangle = (base + perpendicular - hypotenus) / 2
By Pythogoras formula
Hypotenus2 = base2 + perpendicular2
⇒ H2 = 482 + 142
⇒ H2 = 2500
⇒ H = 50 cm
⇒ Inradius = (48 + 14 - 50) / 2
⇒ Inradius = 6 cm