area of an equilant triangle is numerically equal to its perimeter. find a side of an triangle
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Answer:
Step-by-step explanation:
Let the side of an equilateral triangle is a
perimeter of equilateral triangle= area of equilateral triangle
3a= (√3/4)a^2
a= (4×3)/√3
a= (4×3)×√3/ √3×√3. ( by rationalising)
a= 4√3
side = 4√3
perimeter of equilateral triangle= 3a
perimeter of equilateral triangle= 3× 4√3
perimeter of equilateral triangle= 12√3
perimeter of equilateral triangle= 12× 1.732
perimeter of equilateral triangle= 20.78 units
[ value of √3 = 1.732]
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