Question

Construct a quadrilateral ABCD in which AB = BC = 5.5 cm, CD = 4 cm, DA = 6.3 cm, AC = 9.4 cm Measure BD.

Answer 1

As four sides and diagonal of the quadrilateral is given.

Step 1 - Using SSS construction condition first we will draw ΔABC. Draw line AC of length 9.4 cm.

Step 2 - Then using compass take a length of 5.5 cm and draw an arc by taking A as the centre. Do the same by taking C as centre and length of 5.5 cm.

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

Step 4 - Now for vertex B, using compass take a length of 4 cm and draw an arc by taking A as the centre. Do the same by taking C as the centre and length of 6.3 cm.

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

Join BD and measure length of BD.

BD = 5.1 cm