In a triangle ABC, ∠C=90∘,r and R are the in-radius and circum-radius of the triangle ABC respectively, then 2(r+R) is equal to
A
b+c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
c+a
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
a+b
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
a+b+c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Ca+b The figure below represents the triangle. In the above figure, OECD is a square since all angles are right angle. BE=a−r AD=b−r Also, tangents drawn from an external point are equal. Therefore, BF=BE and AF=AD