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

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?


A

No, it is impossible

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

With the measure of other diagonal, Yes

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

Yes, definitely

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

With the measure of extra angle, Yes

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

No, it is impossible


If we have the measures of all the sides of a quadrilateral and its one diagonal, we can draw two triangles and hence, form a quadrilateral.

ABCD comprises of two triangle ADB & CDB

In Δ ADB, AB = 3cm, BD = 8cm, and AD = 4cm

Since, AB + AD < BD

ADB can't be constructed.

So, quadrilateral ABCD can't be constructed.


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