Find the area of an equilateral triangle whose perimeter is 180 cm.
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Perimeter is “the sum of all sides “ or this is a equilateral triangle so the perimeter is “3*side”
By giving question the perimeter is 180
So,we will find the side of this triangle
Perimeter= 3 X side
180=3 X side
Side =180/3
Side = 60
Now the area of a equilateral triangle is
A= (√3/4)(side)^2
A=(√3/4)(60)^2
A=(√3/4)(3600)
A=(√3)900
A=(1.7320)900. ( The value of √3 is 1.7320)
A=1558.85 cm^2.
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A=side
Perimeter =3xA
180=3xA
A=180/3
A=60
Now
Area=root3/4xa^2
A=root3/4x60^2
A=root3x60^2/4
A=root3x3600/4
A=root3x900
A=900 root3
Perimeter =3xA
180=3xA
A=180/3
A=60
Now
Area=root3/4xa^2
A=root3/4x60^2
A=root3x60^2/4
A=root3x3600/4
A=root3x900
A=900 root3
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