Question

proof Basic Proportionality Theorem (BPT)
​

Answer 1

Answer:

Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion. Let's not stop at the statement, we need to find a proof that its true.

Answer 2

$\huge{\boxed{\mathbb\pink{\fcolorbox{red}{lawngreen}{ANSWER}}}}$

PROOF OF BPT

ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ: ᴅʀᴀᴡ ᴇғ ⟂ ᴀᴅ ᴀɴᴅ ᴅɢ⟂ ᴀᴇ ᴀɴᴅ ᴊᴏɪɴ ᴛʜᴇ sᴇɢᴍᴇɴᴛs ʙᴇ ᴀɴᴅ ᴄᴅ. ɴᴏᴛᴇ ᴛʜᴀᴛ Δᴅʙᴇ ᴀɴᴅ Δᴇᴄᴅ ʜᴀᴠᴇ ᴀ ᴄᴏᴍᴍᴏɴ ʙᴀsᴇ ᴅᴇ ᴀɴᴅ ʟɪᴇ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ sᴀᴍᴇ ᴘᴀʀᴀʟʟᴇʟs ᴅᴇ ᴀɴᴅ ʙᴄ. ᴀʟsᴏ, ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴛʀɪᴀɴɢʟᴇs ʜᴀᴠɪɴɢ ᴛʜᴇ sᴀᴍᴇ ʙᴀsᴇ ᴀɴᴅ ʟʏɪɴɢ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ sᴀᴍᴇ ᴘᴀʀᴀʟʟᴇʟs ᴀʀᴇ ᴇϙᴜᴀʟ ɪɴ ᴀʀᴇᴀ. ʜᴇɴᴄᴇ ᴘʀᴏᴠᴇᴅ.

հҽղcҽ թɾօѵҽժ

____________________

$<marquee>❤️❤️❤️✔️✔️✔️ PLEASE PLEASE PLEASE MARK ME AS BRAINLIEST ❤️❤️❤️✔️✔️✔️$