Question

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

• A. No, it is impossible
• B. Yes, definitely
• C. With a measure of one angle too, yes
• D. I can construct half quadrilateral

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. E.g. Suppose AB, AC, BD, BC, and CD are given. We have all measures of $△ABC$ and $△BDC$. Hence, we can construct $△ABC$​​​​​​​ and $△BDC$​​​​​​​. Now, we can join point D and point A so that we get the given quadrilateral.