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Aptitude · Q54

Triangles

Competitive Exams · Aptitude · question 54

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
Answer
D.
7 cm

Answer: Option C

Solution

Answer: Option C
Solution:
According to question,
ABC is a right angled triangle
Triangles mcq solution image
∴ 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