Q7 of 805 Page 18

Construct, if possible, a quadrilateral ABCD given AB = 6 cm, BC = 3.7 cm, CD = 5.7 cm, AD = 5.5 cm and BD = 6.1 cm. Give reasons for not being able to construct it, if you cannot.

As four sides and diagonal of quadrilateral is given.

Step 1-Using SSS construction condition first we will draw ΔABD. Draw line BD of length 6.1 cm.



Step 2- Then using compass take a length of 6 cm and draw an arc by taking B as centre. Do the same by taking D as centre and length of 5.5 cm.


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



Step 4- Now for vertex C, using compass take a length of 3.7 cm and draw an arc by taking B as centre. Do the same by taking D as centre and length of 5.7 cm.



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



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