Question

Construction of a unique quadrilateral ABCD is possible with AB = 4cm, BC = 6cm, AC = 7cm, CD = 5cm and BD = 8cm.

• A. True
• B. False

Answer 1

The correct option is A

True

You don't need to draw the full quadrilateral.

You just need to know the basic property of triangles -" The sum of the lengths of any two sides of a triangle is always greater than the third side.”

Every quadrilateral is made of two triangles.

So, if we can construct two triangles, we can construct the full quadrilateral. Here is a rough diagram of quadrilateral ABCD.

We have measures of AB, BC, AC, CD and BD using which we can construct triangles $△$​ ABC and $△$​ BDC.

So, we can construct the quadrilateral ABCD.