Question

Construct a rectangle such that one diagonal is 6.6cm and an
angle between two diagonal
is 120° .​

Answer 1

Concept:

Here, we have to construct a rectangle. The diagonal is 6.6 cm . The angle of both the two diagonal is 120° .

Diagram:

Given on the attachment.

Question:

Construct a rectangle such that one diagonal is 6.6cm and an angle between two diagonal is 120° .

Steps of Construction:

• 1) Draw a line segment , AB = 6.6 cm .

Now, AO = 1/2 of AC ( that means AO = 1/2 × 6.6 , by substituting this we will get the Value, AO = 3.3 cm. )

• 2) Using Ruler , Take AO or BO = 3.3 cm. Let, O be the mid-point of AC.

• 3) Using Protractor , take ∠BOC = 120° or 60°

• 4) Using Protractor , take ∠BOD = 120° or 60°

• 5) Take OC = 3.3 cm .

• 6) Take OD = 3.3 cm.

• 8) Join AC = CB = BD = DA .

Therefore, ABCD is the required rectangle.

Material Used:

• Ruler

• Protractor

Happy Learning!!!