Question

important question please answer

Answer 1

ɢɪᴠᴇɴ :-

ᴀʙ = ᴀᴄ

ᴀɴɢʟᴇ 1 = ᴀɴɢʟᴇ 2

(ᴀ) ᴛᴏ ᴘʀᴏᴏғ :- ∆ᴀʙᴅ ≈ ∆ᴀᴄᴅ

ᴘʀᴏᴏғ :-

ɪɴ ∆ᴀʙᴅ ᴀɴᴅ ∆ᴀᴄᴅ,

ᴀɴɢʟᴇ 1 = ᴀɴɢʟᴇ 2 (ɢɪᴠᴇɴ)

ᴀʙ = ᴀᴄ (ɢɪᴠᴇɴ)

ᴀᴅ = ᴀᴅ (ᴄᴏᴍᴍᴏɴ)

ᴛʜᴇʀᴇғᴏʀᴇ ∆ᴀʙᴅ ≈ ∆ᴀᴄᴅ (ʙʏ sᴀs)

(ʙ) ᴀɴɢʟᴇ ᴀᴄᴅ = ᴀɴɢʟᴇ ᴀʙᴅ (ᴄᴘᴄᴛ)

(ᴄ) ʙᴅ = ᴄᴅ (ᴄᴘᴄᴛ)

(ᴅ) ᴛᴏ ᴘʀᴏᴏғ :-

ᴀɴɢʟᴇ ᴅʙᴄ = ᴀɴɢʟᴇ ᴅᴄʙ

ᴘʀᴏᴏғ :-

ᴀɴɢʟᴇ ᴀʙᴄ = ᴀɴɢʟᴇ ᴀᴄʙ (ᴏᴘᴘᴏsɪᴛᴇ sɪᴅᴇs ᴀʀᴇ ᴇϙᴜᴀʟ) …(1⃣)

ᴀɴɢʟᴇ ᴀʙᴅ = ᴀɴɢʟᴇ ᴀᴄᴅ (ᴀʟʀᴇᴀᴅʏ ᴘʀᴏᴠᴇᴅ) …(2⃣)

sᴜʙᴛʀᴀᴄᴛɪɴɢ (2⃣) ғʀᴏᴍ (1⃣)

➡ ᴀɴɢʟᴇ ᴀʙᴄ - ᴀɴɢʟᴇ ᴀʙᴅ = ᴀɴɢʟᴇ ᴀᴄʙ - ᴀɴɢʟᴇ ᴀᴄᴅ

➡ ᴀɴɢʟᴇ ᴅʙᴄ = ᴀɴɢʟᴇ ᴅᴄʙ

ʜᴇɴᴄᴇ, ᴘʀᴏᴠᴇᴅ.

(ᴇ) sɪɴᴄᴇ ᴅʙ ᴀɴᴅ ᴅᴄ ᴀʀᴇ ᴇϙᴜᴀʟ (ᴄᴘᴄᴛ) ᴀɴᴅ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴛᴡᴏ sɪᴅᴇs ᴏғ ᴀɴ ɪsᴏsᴄᴇʟᴇs ᴛʀɪᴀɴɢʟᴇ ᴀʀᴇ ᴇϙᴜᴀʟ. ʜᴇɴᴄᴇ ɪᴛ's ᴘʀᴏᴠᴇᴅ ᴛʜᴀᴛ ∆ᴅʙᴄ ɪs ᴀɴ ɪsᴏsᴄᴇʟᴇs ᴛʀɪᴀɴɢʟᴇ.

@ⅅ乇卂ㄒ卄