Question

Is it possible to construct a quadrilateral from any 4 given measurements of its sides

Answer 1

Answer:

yes. it is possible to construct a quadrilateral from any 4 given measurements of its sides

Answer 2

$\huge\mathcal\blue{ANSWER}$

Constructing quadrilaterals can be done through 4 ways.

1) When 4 sides and one diagonal are given. Construct the quadrilateral ABCD with AB = 4 cm, BC = 6 cm, CD = 5.5 cm, AD= 5 cm and AC = 8 cm.

Step 2: With 4 cm as radius from A draw an arc.

Step 3: With 6 cm as radius cut the arc drawn in step 2. Let that point of intersection be B. Join AB and CB.

Step 4: With 5 cm as radius from A draw an arc to the opposite side of AC.

Step 5: From C take 5.5 cm as radius and cut the arc drawn in step 4. Let the point of intersection be D. Join AD and CD.

ABCD is the required quadrilateral.