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The perimeter of an equilateral triangle is 60cm. Find the area of triangle?
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The perimeter of an equilateral triangle is 60cm. Find the area of tri...
Perimeter =60Semi Perimeter =60/2=30Length of each side a+a+a=60 3a=60 a=20 Under root s (s-a) (s-b) (s-c) Under root 30 (30-20)(30-20)(30-20)Under root 30*10*10*10=under root 30000cm^2100 under root 3 cm2
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The perimeter of an equilateral triangle is 60cm. Find the area of tri...
Perimeter of the Equilateral Triangle
To find the area of an equilateral triangle, we first need to determine the length of its sides. In this problem, we are given the perimeter of the triangle as 60 cm. Since an equilateral triangle has all sides equal, we can divide the perimeter by 3 to find the length of each side.
Calculating the Length of Each Side
Perimeter = Sum of all sides
60 cm = 3 * Length of each side
Length of each side = 60 cm / 3
Length of each side = 20 cm
Calculating the Area of the Equilateral Triangle
The formula to calculate the area of an equilateral triangle is:
Area = (√3 / 4) * (Length of each side)^2
Plugging in the value of the length of each side:
Area = (√3 / 4) * (20 cm)^2
Simplifying the equation:
Area = (√3 / 4) * (400 cm^2)
Area = (√3 / 4) * 400 cm^2
Area = (√3 * 400) / 4 cm^2
Area = (√3 * 100) cm^2
Area = 100√3 cm^2
Final Answer:
The area of the equilateral triangle is 100√3 cm^2.
To find the area of an equilateral triangle, we first need to determine the length of its sides. In this problem, we are given the perimeter of the triangle as 60 cm. Since an equilateral triangle has all sides equal, we can divide the perimeter by 3 to find the length of each side.
Calculating the Length of Each Side
Perimeter = Sum of all sides
60 cm = 3 * Length of each side
Length of each side = 60 cm / 3
Length of each side = 20 cm
Calculating the Area of the Equilateral Triangle
The formula to calculate the area of an equilateral triangle is:
Area = (√3 / 4) * (Length of each side)^2
Plugging in the value of the length of each side:
Area = (√3 / 4) * (20 cm)^2
Simplifying the equation:
Area = (√3 / 4) * (400 cm^2)
Area = (√3 / 4) * 400 cm^2
Area = (√3 * 400) / 4 cm^2
Area = (√3 * 100) cm^2
Area = 100√3 cm^2
Final Answer:
The area of the equilateral triangle is 100√3 cm^2.
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The perimeter of an equilateral triangle is 60cm. Find the area of triangle?
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The perimeter of an equilateral triangle is 60cm. Find the area of triangle? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The perimeter of an equilateral triangle is 60cm. Find the area of triangle? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The perimeter of an equilateral triangle is 60cm. Find the area of triangle?.
The perimeter of an equilateral triangle is 60cm. Find the area of triangle? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The perimeter of an equilateral triangle is 60cm. Find the area of triangle? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The perimeter of an equilateral triangle is 60cm. Find the area of triangle?.
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