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

In fig and fid seg AB AC, seg BP PC, A=50,P=110. Then find ABP and ACP and hence find the relation between them
184190_7cf83c084f48440987023b0f56f3f875.png

A
ABP=100 or 30
loader
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
ABP=30
loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
ABP=100
loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A ABP=100 or 30
Given: AB=AC and BP=PC
Join AP
Now, In ABP and APC
AB=AC (Given)
BP=PC (Given)
AP=AP (Common)
Thus, ABPACP
Hence, BAP=CAP=12A=25
ABP=ACP
In Case I,
ABP=12P=55
In Case II,
ABP=12(ext.P)=125
Now, In APB
Sum of angles = 180
ABP+APB+PAB=180
In case I,
ABP+25+55=180
ABP=100
In case II,
ABP+25+125=180
ABP=30
therefore, ABP=100or30

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Triangle Properties
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon
footer-image