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

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?

Open in App
Solution

No,
Given measures are AB = 3 cm, BC = 4 cm, CD = 5.4 cm,
DA = 5.9 cm and AC = 8 cm
Here, we observe that AB + BC = 3 + 4 = 7 cm and AC = 8 cm
i.e. the sum of two sides of a triangle is less than the third side, which is absurd.
Hence, we cannot construct such a quadrilateral.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Construction of Polygons
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon