Economy, asked by nithikashreenithu, 9 months ago

Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.

Answers

Answered by bagavathi150373
1

hope it helps you.....

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Answered by Anonymous
33

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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