Question

Diagonals of a square are Example 5. Construct a rectangle ABCD whose diagonal AC = 6 cm and the ang Const between the diagonals is 30°.
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Answer 1

Step-by-step explanation:

Given : Diagonal=6 cm.

Steps for construction

Step 1 : Draw the rough diagram and mark the given measures.

Step 2 : Draw a line segment AC=6 cm.

Step 3 : Construct a perpendicular bisector

XY

of

AC

.

Step 4 :

XY

intersects

AC

at O. We get OC=AO=3 cm.

Step 5 : With O as centre draw two arcs of radius 3 cm cutting the line

XY

at points B and D.

Step 6 : Join

AB

,

BC

,

CD

and

DA

.

ABCD is the required square