If its perimeter of an equilateral triangle is 120cm.What will be its area?
Answers
Answered by
9
let the side of equilateral triangle be x
x +x+x = 120
3x = 120
x = 120/3
x = 40
area of equilateral triangle = √3/4a *a
√3/4 *40*40
√1200
20√3
:)
x +x+x = 120
3x = 120
x = 120/3
x = 40
area of equilateral triangle = √3/4a *a
√3/4 *40*40
√1200
20√3
:)
Answered by
3
A/q
In equalateral triangle all sides are equal
So,
Perimeter= 3 X side
120= 3 X side
Side=120/3
Side=40
Now the area of a equilateral triangle is
So,
Each side=120/2=60
Square root of 90(90–60)(90–60)(90–60)
=square root of 90*30*30*30
=Square root of 30*3*30*30*30
=30*30√3
=900*1.732 = 1558.8 square cm
In equalateral triangle all sides are equal
So,
Perimeter= 3 X side
120= 3 X side
Side=120/3
Side=40
Now the area of a equilateral triangle is
So,
Each side=120/2=60
Square root of 90(90–60)(90–60)(90–60)
=square root of 90*30*30*30
=Square root of 30*3*30*30*30
=30*30√3
=900*1.732 = 1558.8 square cm
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