In ΔABC,AB=BC=6cm. A circle is drawn with center at B and radius 2 cm. What is the scale factor of the triangle formed by the point B and the points where the circle intersects △ABC?
A
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
13
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C13
Given in ΔABC,AB=BC=6cm.
If a circle is drawn with B as center and 2 cm radius,
it intersects ΔABC at 2 points D and E. BD=BE=2cm.
In ΔABCandΔEBD, BEAB=BDBC=26=13and∠EBD=∠ABC.
By SAS similarity, ΔABC and ΔEBD
are similar.
The scale factor for the ΔEBD
with respect to ΔABC is 13.