# Q. Using ruler and compasses only. Construct a rhombus ABCD with sides of length 4 cm, and diagonal AC of length 5 cm, measure $<$ABC.

Dear student

We follow these steps to construct rhombus ABCD by given information (  AB  = BC  =  CD  = DA = 4  cm and BD  =  5 cm )

Step 1 :  Draw a line BD  =  5 cm

Step 2 : Now take radius of 4  cm and center B and D draw two arcs on both sides of line BD , These arcs intersect at " A "  and " D " .

Step 3 : Join AB , AD , BC and DC . We get our required rhombus ABCD  .

Now, you can measure $\angle$ABC with the help of a protactor.
Regards

• 0