in triangle ABC. AB = AC. A circle passing through B and C intersects AB at D and AC
at E. Prove that BC || DE.
Answers
Answered by
8
Answer:
ɪɴ △ᴀʙᴄ
∠ʙ=∠ᴄ. .(1)
ɪɴ ᴛʜᴇ ᴄʏᴄʟɪᴄ ϙᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ᴄʙᴅᴇ, sɪᴅᴇ ʙᴅ ɪs ᴘʀᴏᴅᴜᴄᴇᴅ ᴛᴏ ᴀ.
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ ɪs ᴇϙᴜᴀʟ ᴛᴏ ᴏᴘᴘᴏsɪᴛᴇ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ.
ɪ.ᴇ ∠ᴅ=∠ᴄ. (2)
ғʀᴏᴍ (1) ᴀɴᴅ (2)
∠ᴀᴅᴇ=∠ᴀʙᴄ
sᴏ, ᴄᴏʀʀᴇsᴘᴏɴᴅɪɴɢ ᴀɴɢʟᴇs ᴀʀᴇ ᴇϙᴜᴀʟ
ʜᴇɴᴄᴇ, ᴅᴇ∣∣ʙᴄ
Attachments:

Similar questions
Math,
3 months ago
Math,
5 months ago
Math,
5 months ago
World Languages,
1 year ago
Social Sciences,
1 year ago