1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# In the given figure, T is a point on side QR of ΔPQR and S is a point such that RT = ST. Which of the following is true?

A
PQ + PR < QS
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
PQ + PR > QS
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
PQ + TR > QS
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
PQ + TR < QS
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B PQ + PR > QS Sum of the lengths of the two sides is always greater than the length of third side. So in ΔPQR, we have PQ + PR > QR PQ + PR > QT + RT [Since QR = QT + RT] PQ + PR > QT + ST ... (i) [Since RT = ST] In ΔQST, we have QT + ST > QS ...(ii) From (i) and (ii), we get PQ + PR > QS

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Calculating angles
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program