The perimeter of an equilateral triangle is 60 m. What will be its area?
Answers
Answer:
Let each side of an equilateral be x.
Let each side of an equilateral be x.Then, perimeter of an equilateral triangle = 60 m
Let each side of an equilateral be x.Then, perimeter of an equilateral triangle = 60 mx + x + x = 60 ⇒ 3x = 60 ⇒ x = 60/3 = 20 m
Let each side of an equilateral be x.Then, perimeter of an equilateral triangle = 60 mx + x + x = 60 ⇒ 3x = 60 ⇒ x = 60/3 = 20 mArea of an equilateral triangle = √3/4 (Side)2 = (√3/4) x 20 x 20 = 100 √3 m2
Let each side of an equilateral be x.Then, perimeter of an equilateral triangle = 60 mx + x + x = 60 ⇒ 3x = 60 ⇒ x = 60/3 = 20 mArea of an equilateral triangle = √3/4 (Side)2 = (√3/4) x 20 x 20 = 100 √3 m2Thus, the area of triangle is 100√3 m2.
Step-by-step explanation:
p=60m.
3a=60
side((denoted by a))=60/3=20.
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