Question

What is the length of each side of an equilateral whose area is 4 root 3 CM sq a 4 CM b 5 cm c 7 CM

Answer 1

Answer:

Area of equilateral triangle = (√3/4)×(side)^2

or,

$4 \sqrt{3 } = \frac{ \sqrt{3} }{4} \times {(side)}^{2}$

${(side)}^{2} = 16$

or, side of equilateral triangle = 4 cm

Answer 2

Answer:

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✒️ᴀɴ ᴇǫᴜɪʟᴀᴛᴇʀᴀʟ ᴛʀɪᴀɴɢʟᴇ ɪs ᴀ ᴛʀɪᴀɴɢʟᴇ ɪɴ ᴡʜɪᴄʜ ᴀʟʟ ᴛʜʀᴇᴇ sɪᴅᴇs ʜᴀᴠᴇ ᴛʜᴇ sᴀᴍᴇ ʟᴇɴɢᴛʜ. ɪɴ ᴛʜᴇ ғᴀᴍɪʟɪᴀʀ ᴇᴜᴄʟɪᴅᴇᴀɴ ɢᴇᴏᴍᴇᴛʀʏ, ᴀɴ ᴇǫᴜɪʟᴀᴛᴇʀᴀʟ ᴛʀɪᴀɴɢʟᴇ ɪs ᴀʟsᴏ ᴇǫᴜɪᴀɴɢᴜʟᴀʀ; ᴛʜᴀᴛ ɪs, ᴀʟʟ ᴛʜʀᴇᴇ ɪɴᴛᴇʀɴᴀʟ ᴀɴɢʟᴇs ᴀʀᴇ ᴀʟsᴏ ᴄᴏɴɢʀᴜᴇɴᴛ ᴛᴏ ᴇᴀᴄʜ ᴏᴛʜᴇʀ ᴀɴᴅ ᴀʀᴇ ᴇᴀᴄʜ 60°.