Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
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★ QUESTION :
Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
GIVEN :
- Perimeter of the triangle = 60 cm
TO FIND :
- The area and the height of equilateral triangle = ? ( when perimeter is given as 60 cm)
STEP - BY - STEP EXPLAINATION :
→ sɪᴅᴇ ᴏғ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ = Perimeter / The sides of the triangle
→ sɪᴅᴇ ᴏғ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ = 60cm / 3 = 20cm
→ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴇϙᴜɪʟᴀᴛᴇʀᴀʟ ᴛʀɪᴀɴɢʟᴇ = √3/4 × 20 × 20 = 20 × 5 × √3
→ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴇϙᴜɪʟᴀᴛᴇʀᴀʟ ᴛʀɪᴀɴɢʟᴇ = 100√3 = 17.32 cm
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