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

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 C 13

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 ΔABC and ΔEBD,
BEAB=BDBC=26=13 and EBD=ABC.
By SAS similarity, ΔABC and ΔEBD
are similar.
The scale factor for the ΔEBD
with respect to ΔABC is 13.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Constructions of Triangles_tackle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon