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

In a quadrilateral, ABCD is given that A=1200, B=D=900, AB=13, AD=46 then AC?

A
42
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
62
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
72
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
44
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 62
As given
A=120°B=90°C=360(12090+90)=60°D=90°
We can see this is cyclic quadrilateral
AC=2r (where r is radius)
AC=BD/sin(120°)=23BD
By the law of cosine of ΔABD
BD×BD=13×13+16×462×13×46cos120°=2883AC=232883=62


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