use pythogoras theorem and write the proof of 'The length of tangents drawn from an external points to a circle are equal'.
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ᴛᴏ ᴘʀᴏᴠᴇ ᴘᴛ=ǫᴛᴘᴛ=ǫᴛ
ᴘʀᴏᴏғ: ᴄᴏɴsɪᴅᴇʀ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ ᴏᴘᴛᴏᴘᴛ ᴀɴᴅ ᴏǫᴛᴏǫᴛ.
ᴏᴘ=ᴏǫᴏᴘ=ᴏǫ
∠ᴏᴘᴛ=∠ᴏǫᴛ=90∘∠ᴏᴘᴛ=∠ᴏǫᴛ=90∘
ᴏᴛ=ᴏᴛᴏᴛ=ᴏᴛ (ᴄᴏᴍᴍᴏɴ sɪᴅᴇ)
ʜᴇɴᴄᴇ ʙʏ ʀʜs ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇs ᴀʀᴇ ᴇǫᴜᴀʟ.
ʜᴇɴᴄᴇ ᴘᴛ=ǫᴛᴘᴛ=ǫᴛ
ʜᴇɴᴄᴇ ᴘʀᴏᴠᴇᴅ.
ᴘʀᴏᴏғ: ᴄᴏɴsɪᴅᴇʀ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ ᴏᴘᴛᴏᴘᴛ ᴀɴᴅ ᴏǫᴛᴏǫᴛ.
ᴏᴘ=ᴏǫᴏᴘ=ᴏǫ
∠ᴏᴘᴛ=∠ᴏǫᴛ=90∘∠ᴏᴘᴛ=∠ᴏǫᴛ=90∘
ᴏᴛ=ᴏᴛᴏᴛ=ᴏᴛ (ᴄᴏᴍᴍᴏɴ sɪᴅᴇ)
ʜᴇɴᴄᴇ ʙʏ ʀʜs ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇs ᴀʀᴇ ᴇǫᴜᴀʟ.
ʜᴇɴᴄᴇ ᴘᴛ=ǫᴛᴘᴛ=ǫᴛ
ʜᴇɴᴄᴇ ᴘʀᴏᴠᴇᴅ.
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