Question

state and prove Pythagoras theorem​

Answer 1

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer 2

$\huge\boxed{\fcolorbox{white}{pink}{Answer:⇢}}$

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❏State :

• Pʏᴛʜᴀɢᴏʀᴀꜱ ᴛʜᴇᴏʀᴇᴍ ꜱᴛᴀᴛᴇꜱ ᴛʜᴀᴛ “ ɪɴ ᴀ ʀɪɢʜᴛ-ᴀɴɢʟᴇᴅ ᴛʀɪᴀɴɢʟᴇ, ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ ᴛʜᴇ ʜʏᴘᴏᴛᴇɴᴜꜱᴇ ꜱɪᴅᴇ ɪꜱ ᴇQᴜᴀʟ ᴛᴏ ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ꜱQᴜᴀʀᴇꜱ ᴏꜰ ᴛʜᴇ ᴏᴛʜᴇʀ ᴛᴡᴏ ꜱɪᴅᴇꜱ”. ᴛʜᴇ ꜱɪᴅᴇꜱ ᴏꜰ ᴛʜᴇ ʀɪɢʜᴛ-ᴀɴɢʟᴇᴅ ᴛʀɪᴀɴɢʟᴇ ᴀʀᴇ ᴄᴀʟʟᴇᴅ ʙᴀꜱᴇ, ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴀɴᴅ ʜʏᴘᴏᴛᴇɴᴜꜱᴇ.

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❏Prove :

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❏Let The Right angle Triangle Be ABC,

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Angle ABC = 90⁰

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Opposites Side Of 90⁰ is Hypotenuse Side .

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❏Therefore,

Side AC = Hypotenuse Side

Side AB = 1st Side

Side Bc = 2nd Side

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❏By Pythagoras Theorem,

Hypotenuse Side² = 1st Side² + 2nd Side²

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$\small\boxed{\fcolorbox{white}{p}{AC² = AB² + BC²}}$

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❏Hence Proved【✔】

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