Question

Construct a quadrilateral ABCD given AD = 3.5 cm, BC = 2.5 cm, CD = 4.1 cm, AC = 7.3 cm and BD = 3.2 cm.

Answer 1

As three sides and two diagonals of quadrilateral is given.

Step 1 - Using SSS construction condition first we will draw ΔACD. Draw line AC of length 7.3 cm.

Step 2 - Then using compass take a length of 3.5 cm and draw an arc by taking A as centre. Do the same by taking C as centre and length of 4.1 cm.

Step 3 - Now join the intersection point to A and C and label it as D.

Step 4 - Now for vertex B, using compass take a length of 3.2 cm and draw an arc by taking D as centre. Do the same by taking C as centre and length of 2.5 cm.

Step 5 - Join the intersection point to A and C and label it as B.