Q5 of 805 Page 18

Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal.

As all the sides of a rhombus are equal and diagonals bisect each other.

XY=YZ=ZW=WX=6 cm and XZ=8 cm


Step 1-Using SSS construction condition first we will construct ΔXYZ. Draw line XZ of length 8 cm.



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


Step 3-Now join the intersection point to X and Z and label it as Y.



Step 4- Now for vertex W, using compass take a length of 6 cm and draw an arc by taking X as the centre. Do the same by taking Z as centre and length of 6 cm.



Step 5-Join the intersection point to X and Z and label it as W.



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