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How do you find the area of an equilateral triangle with a perimeter of 24in?
Wiki User
∙ 9y ago
In an equilateral triangle, all of the sides have the same length and all of the angles are the same. Since the total of all three angles in any triangle always equals 180 degrees, each angle of an equilateral triangle is one third of 180 degrees, which is 60 degrees. Likewise, the length of each side is one third of the entire perimeter, or 8 in.
The area of a triangle is the product of one half of the length of the base multiplied by the height. The height of the triangle is the length within the triangle of the perpendicular bisector of the base. Since an equilateral triangle is symmetrical, the bisector bisects the entire triangle into two equal 30-60-90-degree right triangles. In all 30-60-90-degree right triangles, the length of the hypotenuse is always double the length of the shortest side, and the length of the other side is equal to the length of the shortest side times the square root of 3. So if the length of half of the base is four inches and the height is four inches times the square root of three, the area of the triangle is exactly (sixteen times the square root of three) square inches, which is approximately 27.713 square inches rounded to three decimal places.
Wiki User
∙ 9y ago
Wiki User
∙ 9y agoIt is: 0.5*8*8*sin(60 degrees) = 27.713 square inches rounded to 3 decimal places
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3.897 square inches.
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Find the area of an equilateral triangle if its perimeter is 18 ft
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Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places
What is the area of an equilateral triangle that has a perimeter of 21 inches?
21.20
What is the perimeter of a triangle that has a area of 6.5 cm?
The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.
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Find the area of an equilateral triangle that has a perimeter of 21 inches Round the answer to one decimal place?
Find the area of an equilateral triangle that has a perimeter of 21 inches. Round the answer to one decimal place.
Area of an equilateral triangle with a 9 inch perimeter?
3.897 square inches.
What is equal to the area of an equilateral triangle whose perimeter is 36 inches?
62.354 inches2
Suppose you know the perimeter and the height of an equilateral triangle explain how you would find the area of the triangle.?
The base is one third of the perimeter, half of the base times the height is the area.
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What is the lateral area of the right equilateral triangle prism?
It is the perimeter of a triangle times the length of the prism (in square units).
