construct a triangle similar to a given triangle ABC such that each of it's sides is 3/4th of the corresponding sides of ∆ABC.It is given that Ab=5cm ,BC=6cm and CA=7cm
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Sᴛᴇᴘs ᴏғ ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ:
- ᴅʀᴀᴡ ᴀ ʟɪɴᴇ sᴇɢᴍᴇɴᴛ BC = 6 ᴄᴍ..
- ᴛᴀᴋᴇ B ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ʀᴀᴅɪᴜs 5 ᴄᴍ ᴅʀᴀᴡ ᴀɴ ᴀʀᴄ.
- ᴛᴀᴋɪɴɢ C ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ʀᴀᴅɪᴜs 7 ᴄᴍ,ᴅʀᴀᴡ ᴀɴ ᴀʀᴄ ᴡʜɪᴄʜ ᴄᴜᴛ ᴛʜᴇ ᴘʀᴇᴠɪᴏᴜs ᴀʀᴄ ᴀᴛ A.
- ᴊᴏɪɴ AB ᴀɴᴅ AC.
- ᴛʜᴜs,ABC ɪs ᴛʜᴇ ʀᴇǫᴜɪʀᴇᴅ ᴛʀɪᴀɴɢʟᴇ.
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Sᴛᴇᴘs ᴏғ ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ:
- ᴅʀᴀᴡ ᴀ ʟɪɴᴇ sᴇɢᴍᴇɴᴛ BC = 6 ᴄᴍ..
- ᴛᴀᴋᴇ B ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ʀᴀᴅɪᴜs 5 ᴄᴍ ᴅʀᴀᴡ ᴀɴ ᴀʀᴄ.
- ᴛᴀᴋɪɴɢ C ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ʀᴀᴅɪᴜs 7 ᴄᴍ,ᴅʀᴀᴡ ᴀɴ ᴀʀᴄ ᴡʜɪᴄʜ ᴄᴜᴛ ᴛʜᴇ ᴘʀᴇᴠɪᴏᴜs ᴀʀᴄ ᴀᴛ A.
- ᴊᴏɪɴ AB ᴀɴᴅ AC.
ᴛʜᴜs,ABC ɪs ᴛʜᴇ ʀᴇǫᴜɪʀᴇᴅ ᴛʀɪᴀɴɢʟᴇ.
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