Question

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of quadrilateral ABCD, can you construct the quadrilateral?

• A. No, it is impossible
• B. Yes, definitely
• C. With a measure of one angle too, yes
• D. with a measure of two angles too, yes

Answer 1

The correct option is B

Yes, definitely

If we have 3 sides and 2 diagonals given to us, we can construct the quadrilateral. For e.g. If suppose AB, AC, BD, BC, and CD are given. We have all the measures of $\Delta ABC$ and $\Delta BDC$ we can construct $\Delta ABC$ and $\Delta BDC$​​​​​​​. Now we can join points D and point A. Thus, we can construct the given quadrilateral.