Question

Construct a rhombus with side 5 cm and one of its angle is 750°​

Answer 1

Answer:

Step-by-step explanation:

In rhombus ABCD,

∠B=60  

∘

 

∠A+∠B=180  

∘

    [Adjacent angles]

⇒∠A+60  

∘

=180  

∘

 

⇒∠A=120  

∘

 

and,  AB=BC=CD=DA=5cm

Steps for construction :  

Step 1. Draw AB=5cm  

Step 2. Draw ray AY such that ∠BAY=120  

∘

 

Step 3. Mark a point D such that AD=5cm .

Step 4. Draw a ray BX such that ∠ABX=60  

∘

 

Step 5. Mark a point C such that BC=5cm  

Step 6. Join C and D .

Answer 2

Answer:

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Construct a rhombus whose side is 5cm and one angle is of 60

∘

.

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Solution

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In rhombus ABCD,

∠B=60

∘

∠A+∠B=180

∘

[Adjacent angles]

⇒∠A+60

∘

=180

∘

⇒∠A=120

∘

and, AB=BC=CD=DA=5cm

Steps for construction :

Step 1. Draw AB=5cm

Step 2. Draw ray AY such that ∠BAY=120

∘

Step 3. Mark a point D such that AD=5cm .

Step 4. Draw a ray BX such that ∠ABX=60

∘

Step 5. Mark a point C such that BC=5cm

Step 6. Join C and D .

Hence ABCD is the required rhombus.

solution