Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
548 views
in Circles by (30.8k points)
closed by

In Fig. Δ ABC is circumscribing a circle. Find the length of BC.

1 Answer

+1 vote
by (31.2k points)
selected by
 
Best answer

Given:

AR = 4 cm 

BR = 3 cm 

AC = 11 cm

Property: If two tangents are drawn to a circle from one external point, then their tangent segments (lines joining the external point and the points of tangency on circle) are equal.

Using the above property, 

AR = AQ = 4 cm (tangent from A) 

BR= BP (tangent from B) 

And, 

CP = CQ (tangent from C) 

Also, 

CQ = CA – AQ = 11 cm – 4 cm = 7 cm 

Now, 

BC = BP + PC 

= BR + CQ [∵ BR = BP and CP = CQ = 7 cm] 

= 3 cm + 7 cm 

= 10 cm 

Hence, BC = 10 cm

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...