Q54
In a right-angle ΔABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is
A.
7.5 cm
B.
6 cm
C.
6.5 cm
AnswerD.
7 cm
Answer: Option C
Solution
Answer: Option C
Solution:
According to question,ABC is a right angled triangle

∴ By using Pythagoras theorem
AC2 = AB2 + BC2
AC2 = (5)2 + (12)2
AC2 = 25 + 144
AC2 = 169
AC =
AC = 13 cm
BD = IR = Circumradius =
∴ IR =
IR = 6.5 cm