Question

Q 2 Find the side and perimeter of a square whose diagonal is 10 cm.​

Answer 1

Answer:

Hi dear here is ur answer ✌✌

diagonal of a square = root (2) × side

10 = root 2 × side

10 / root 2 = side

5 root 2 = side

perimeter of square = 4 × side

i.e = 4× 5 root 2

i hope it helps u buddy ✌✌

Answer 2

✍️A᭄NSWER✍️

ʟᴇᴛ □◻ᴀʙᴄᴅ ʙᴇ ᴛʜᴇ ɢɪᴠᴇɴ sǫᴜᴀʀᴇ.

ʟ(ᴅɪᴀɢᴏɴᴀʟ ᴀᴄ) = 10 ᴄᴍ ʟᴇᴛ ᴛʜᴇ sɪᴅᴇ ᴏғ ᴛʜᴇ sǫᴜᴀʀᴇ ʙᴇ ‘x’ ᴄᴍ. ɪɴ ∆ᴀʙᴄ,

∠ʙ = 90° [ᴀɴɢʟᴇ ᴏғ ᴀ sǫᴜᴀʀᴇ]

∴ ᴀᴄ^2 = ᴀʙ^2 + ʙᴄ^2 [ᴘʏᴛʜᴀɢᴏʀᴀs ᴛʜᴇᴏʀᴇᴍ]

∴ 10^2 = x^2 + x^2

∴ 100 = 2x^2

∴ x2 = 100/2

∴x^2 = 50

∴ x = 50−−√50 [ᴛᴀᴋɪɴɢ sǫᴜᴀʀᴇ ʀᴏᴏᴛ ᴏғ ʙᴏᴛʜ sɪᴅᴇs]

= √25×2 = √52

∴sɪᴅᴇ ᴏғ sǫᴜᴀʀᴇ ɪs 5√2 ᴄᴍ.

= 4× 5√2

∴ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ sǫᴜᴀʀᴇ = 20√2 ᴄᴍ .

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