CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

In a triangle ABC,AB=AC and A=36 If the internal bisector of angle C meets AB at D, then

A
AD = BC
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
AD = AC
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
AD = AB
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
AB = AC = BC
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A AD = BC
Given: A=36 and AB=AC
Since, AB=AC
B=C=x (Isosceles triangle property)
In ABC
A+B+C=180
36+x+x=180
x=72
B=C=72
Since, CD bisects C
BCD=ACD=12C=36
Now, In BDC,
B+BCD+BDC=180 (Angle sum property)
72+36+BDC=180
BDC=72
Thus, BDC=B=72
Hence, BC=AD (Isosceles triangle property)
265518_187795_ans_e4584bdee01b4a9989c93d54661c110d.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
"If Two Sides of a Triangle are Unequal, Then the Angle Opposite to the Greater Side is Greater
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon