    Question

# In the figure given below AB = 7 cm BC = 8 cm CA = 5 cm. What are the radii of the circles A, B and C? A

2 cm, 4 cm and 5 cm

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

1 cm, 3 cm and 7 cm

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

2 cm, 5 cm and 3 cm

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

1 cm, 3 cm and 4 cm

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

## The correct option is C 2 cm, 5 cm and 3 cm AB is nothing but sum of radii of circle A and circle B. Likewise for BC and CA. Let's try forming three simultaneous equations. The radii of circles with centres A, B and C are x, y and z respectively. x+y=7, y+z=8, z+x=5 ⇒y=8−z, Putting this value in x+y=7 ⇒x+8−z=7 ⇒x−z=−1 Also, x+z=5 Solving for x, y and z, we get x = 2 cm, y = 5 cm and z = 3 cm  Suggest Corrections  0      Similar questions  Related Videos   Intersection between Secants
MATHEMATICS
Watch in App  Explore more