Question

a) Is it possible that there are three sides common between triangle and quadtrilateral.
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Answer 1

Answer:

Yes it is possible that there are three sides common between triangle and quadtrilateral

Answer 2

Step-by-step explanation:

ABCD is a quadrilatral.

Join any one of the diagonal, say BD.

We know that, in a triangle, sum of two sides is greater than the third side.

Now, in triangle ABD, we have:

AB + AD > BD ... (1)

In triangle BDC, we have:

BD + CD > BC ... (2)

Adding (1) and (2), we get,

AB + AD + BD + CD > BD + BC

AB + AD + CD > BC (Subtracting BD from both sides)

Thus, we have proved that sum of three sides is greater than the fourth side