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How do you find the height of an equilateral triangle given the sides?

Posted on May 12, 2020 by Author

Table of Contents

  • 1 How do you find the height of an equilateral triangle given the sides?
  • 2 How do you find the height and area of an equilateral triangle?
  • 3 How do you find the height of a equilateral triangular pyramid?
  • 4 What is the height of an equilateral triangle having each side 12 cm?
  • 5 How do you find the missing side of an equilateral triangle?
  • 6 Is the height of an equilateral triangle the same as the sides?
  • 7 How do you find the height of an equilateral triangle?
  • 8 What is the formula for the area of the equilateral triangle?
  • 9 How do you find the semiperimeter of an equilateral triangle?

How do you find the height of an equilateral triangle given the sides?

Formula to calculate height of an equilateral triangle is given as: Height of an equilateral triangle, h = (√3/2)a, where a is the side of the equilateral triangle.

How do you find the height and area of an equilateral triangle?

Mastering the Area of Equilateral Triangles You can use the Pythagorean theorem and height of the right triangles within the equilateral to determine the missing side lengths of an equilateral triangle. Then, you can use the formula A = √3/4 (a²) to determine the area of an equilateral triangle.

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What is the height of an equilateral triangle of side 16?

answer is 13.85 cm .

How do you find the height of a equilateral triangular pyramid?

To find the height we divide the triangle into two special 30 – 60 – 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle.

What is the height of an equilateral triangle having each side 12 cm?

Hence, the height of the given triangle is 6√3 cm.

How do you find the height of an equilateral triangle using the Pythagorean Theorem?

Starts here2:38What is the Height of an Equilateral Triangle? – YouTubeYouTube

How do you find the missing side of an equilateral triangle?

Starts here3:59Find the measure for the sides of an equilateral triangle – YouTubeYouTube

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Is the height of an equilateral triangle the same as the sides?

An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees. The side with length will be the height (opposite the 60 degree angle). The height is inches.

What is the height of the equilateral triangle whose side is 10 cm?

a=√75=√3√25=5√3.

How do you find the height of an equilateral triangle?

Equilateral triangle area and height. The formula for a regular triangle area is equal to squared side times square root of 3 divided by 4: area = (a² * √3)/ 4. and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2, where a is a side of the triangle.

What is the formula for the area of the equilateral triangle?

What is more, we know that the sine of 60° is √3/2, so the formula for equilateral triangle area is: area = (1/2) * a² * (√3 / 2) = a² * √3 / 4 Height of the equilateral comes from sine definition: h / a = sin(60°)so h = a * sin(60°) = a * √3 / 2

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What is the perimeter of an equilateral triangle whose area is 12 cm?

The perimeter of an equilateral triangle is 3a. Question 1: Find the area of an equilateral triangle whose perimeter is 12 cm. As per formula: Perimeter of the equilateral triangle = 3a, where “a” is the side of the equilateral triangle. Step 1: Find the side of an equilateral triangle using perimeter. Thus, the length of side is 4 cm.

How do you find the semiperimeter of an equilateral triangle?

Semiperimeter of Equilateral Triangle: s = 3a / 2. Area of Equilateral Triangle: K = (1/4) * √3 * a 2. Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60°. Sides of Equilateral Triangle: a = b = c. 1. Given the side find the perimeter, semiperimeter, area and altitude.

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