Question

construct a rhombus FACE in which AC=5cm and angle C=60 degree

Answer 1

Answer:

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