if in a rhombus, one side is 5 cm and one angle is 60•. Find the measure of other two sides.
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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.
∠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.
Answered by
0
Answer:
In rhombus all sides are equal
so , the measure of all sides will be 5 cm
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