8. The side BC of triangle ABC is produce to D. The bisector of LA meets BC at E.
Prove that LABC + LACD = 2LAEC
do it quickly friends
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ᴀɴsᴡᴇʀ
ɪɴδᴀʙʟ
ʟᴇᴛ∠ʙᴀʟ=ᴀ&∠ʙᴀ=ʙ
ᴇxᴛᴇʀɪᴏʀ∠ᴀʟᴄ=∠ʙᴀʟ+∠ʟʙᴀ
=ᴀ+ʙ
ɪɴδᴀʙᴄ
ᴀʟʙɪsᴇᴄᴛ∠ʙᴀᴄ&∠ᴀᴄ=ᴀ
ᴇxᴛᴇʀɪᴏʀ∠ᴀᴄᴅ=∠ʙᴀᴄ+∠ᴀʙᴄ
=2ᴀ+ʙ
=∠ᴀʙᴄ+∠ᴀᴄᴏ
=ʙ+(2ᴀ+ʙ)
=2ᴀ+2ʙ
=2(ᴀ+ʙ)
=2∠ᴀʟᴄ
Hope it's helps....⚡♦️⚡
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1
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