wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The circumradius of the triangle whose sides are 13, 12, and 5 is


A

15

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

13/2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

15/2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

13/2


Explanation for the correct option :

Finding the circumcenter and radius of the triangle:

The sides of a triangle are of length 13,12 and 5.

Let a=13,b=12,c=5.

Then a2=b2+c2.

Hence the triangle is a right-angled triangle with hypotenuse length 13.

So, the circumcenter lies at the midpoint of the hypotenuse and its radius is half of the hypotenuse length.

r=132.

Therefore, Option (B) is correct.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circumcenter and Construction of Circumcircle in a Triangle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon