wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

In the figure, AC = 10cm, PC = 15cm, PQ = 12cm, find PB.


A

6cm

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

7cm

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

8cm

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

9cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

9cm


In ABC and PQC
PQC=ABC=90
C=C (common angle)
Therefore, ABCPQC by AA similarity
ACPC=ABPQ1015=AB12AB=8cm
In ABC ,
AB2+BC2=AC2BC=6cm
PB = PC – BC = 15 - 6 = 9 cm


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