Q.) ᴄᴏɴꜱᴛʀᴜᴄᴛ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʙᴄᴅ ꜱᴜᴄʜ ᴛʜᴀᴛ ℓ(ʙᴄ) = 7ᴄᴍ, ᴍᴇᴀꜱᴜʀᴇ ᴀɴɢʟᴇ ᴀʙᴄ = 40°, ℓ(ᴀʙ) =3ᴄᴍ.
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1st method
- at first draw the base line BC = 7cm ,by the properties of parallelogram side AD , will be equal and parallel to BC
- draw 40° angle at B with the help of protector mark and dashed line, extend the line. mark a point A at 3cm
- now angle C is adjacent to B ,∆c will be 180-40 = 140° , measure 140° angle from C , extends the line, mark D at 3cm ,since AB = CD
- join point C and D and A and D
2 nd method
- draw AB = 3cm
- draw ∆ABX = 40°
- with B as centre and radius 7cm draw an arc cutting the Ray BX at C
- with C as centre and Radius 3cm , draw an arc
- with A as a centre and Radius 7cm ,draw an arc cutting the previous arc at D
- join AD and CD
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