Q8 of 805 Page 18

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

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 6.3cm.



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


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