Question

In∆ABC,seg AM is the median AB2+AC2 =410 and BC=12​

Answer 1

Answer:

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ɪɴ △ᴀʙᴄ,

ᴀQ ɪꜱ ᴛʜᴇ ᴍᴇᴅɪᴀɴ.

∴ ʙy ᴀᴩᴏʟʟᴏɴɪᴜꜱ ᴛʜᴇᴏʀᴇᴍ,

ᴀʙ2+ᴀᴄ2=2ᴀQ2+2Qᴄ2

122=2ᴀQ2+2(21ʙᴄ)2

122=2ᴀQ2+2(21×10)2

122=2ᴀQ2+2(5)2

122−50=2ᴀQ2

2ᴀQ2=72

ᴀQ2=36

∴ᴀQ=6