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What is an apothem of an equilateral triangle?
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. For an equilateral triangle, the apothem is equivalent to the line segment from the midpoint of a side to the triangle’s center.
How do you find the apothem of a triangle?
Apothem length formula is as follows:
- s= length of one side n = number of sides tan = tan function in degrees Find the apothem of an equilateral triangle with sides of 12 units.
- Plug the side length in the formula.
- 12/((2√3 ) )
- Simplify 12/(2√3 ) = Side Length.
What is the easiest way to find the apothem?
We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units. to find the length of the apothem.
How do you find the apothem length?
As long as the length of the sides is known, the apothem can be determined by using the formula: apothem= s/2 tan (180/n). In this formula, “s” is the length of the sides and “n” is the number of sides. If the sides of the heptagon are 7, for example, the formula would be filled out as apothem=7/2 tan(180/7).
Is the apothem half of the height of a triangle?
For an equilateral triangle, the apothem is 1/3 of the height, so the height is 3 times 2 ft or 6 ft. The base of the equilateral triangle is the apothem times 2√3 or 2ft times 2√3 = 4√3ft.
Is the apothem the same as a side?
The apothem of a square is equal to half of its side length.
Is the Apothem equal to the side length?
What is the length of the Apothem rounded to the nearest inch?
Step-by-step explanation: this is approximately 8.66, so the answer is 9.
How is the apothem of a triangle determined?
The apothem is the distance from the center of the polygon to the midpoint of a side. In this case we have a triangle so the Apothem is the distance from the center of the triangle to the midpoint of the side of the triangle. The Apothem is perpendicular to the side of the triangle, and creates a right angle. What is the perimeter of a polygon?
Which is the correct formula for apothem a?
Apothem a = s 2 ⋅ √3 where s is the length of the side of an equilateral triangle. ∴ s = 2√3a Area of equilateral triangle At = √3s2 4
How to find the area of an equilateral triangle?
Explanation: Apothem a = s 2 ⋅ √3 where s is the length of the side of an equilateral triangle. ∴ s = 2√3a
How do you find the apothem length of a regular polygon?
By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the apothem length is given by the formula: where: s is the length of any side. n is the number of sides.