Find the length of the altitude of an equilateral triangle having side 6cm
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ʜᴇʟʟᴏ ᴍᴀᴛᴇ!
ʜᴇʀᴇ, ᴀʟᴛɪᴛᴜᴅᴇ = ʜᴇɪɢʜᴛ
sɪᴅᴇ = 6 ᴄᴍ
ᴛʀɪᴀɴɢʟᴇ ɪs ᴇǫᴜɪʟᴀᴛᴇʀᴀʟ.
ɴᴏᴡ, ʙʏ ғᴏʀᴍᴜʟᴀ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ
ʜᴇɪɢʜᴛ ᴏғ ∆ = √3ᴀ/2
ʜᴇɪɢʜᴛ [ ᴀʟᴛɪᴛᴜᴅᴇ ] = √3*6 / 2
ᴀʟᴛɪᴛᴜᴅᴇ = 3√3
ɴᴏᴡ, √3 = 1.73
sᴏ, 3√3 = 3*1.73 = 5.19
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs
ʜᴇʀᴇ, ᴀʟᴛɪᴛᴜᴅᴇ = ʜᴇɪɢʜᴛ
sɪᴅᴇ = 6 ᴄᴍ
ᴛʀɪᴀɴɢʟᴇ ɪs ᴇǫᴜɪʟᴀᴛᴇʀᴀʟ.
ɴᴏᴡ, ʙʏ ғᴏʀᴍᴜʟᴀ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ
ʜᴇɪɢʜᴛ ᴏғ ∆ = √3ᴀ/2
ʜᴇɪɢʜᴛ [ ᴀʟᴛɪᴛᴜᴅᴇ ] = √3*6 / 2
ᴀʟᴛɪᴛᴜᴅᴇ = 3√3
ɴᴏᴡ, √3 = 1.73
sᴏ, 3√3 = 3*1.73 = 5.19
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs
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Side of equilateral triangle = 6cm
area of equilateral triangle=√3/4a²
=√3/4×6²
=9√3cm²
but area of a triangle is also equal to 1/2×base×height
⇒9√3=1/2×6×h
⇒height=3√3cm
hope it helps
area of equilateral triangle=√3/4a²
=√3/4×6²
=9√3cm²
but area of a triangle is also equal to 1/2×base×height
⇒9√3=1/2×6×h
⇒height=3√3cm
hope it helps
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