How do you find the area of an equilateral triangle with an Apothem of 6?
How do you find the area of an equilateral triangle with an Apothem of 6?
1 Answer
- A=ah2.
- =6⋅4√32.
- =12√3.
What is Apothem in a 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.
What is the area of an equilateral triangle with side √ 3 4 cm2?
Solution: Using the area of equilateral triangle formula: (√3/4) × a2 square units, we will substitute the values of the side length. Therefore, the area of the equilateral triangle (√3/4) × 42 = 4√3 square units.
How do you find the sides of an equilateral triangle?
Formulas and Calculations for an Equilateral Triangle: Area of Equilateral Triangle Formula: K = (1/4) * √3 * a. The altitude of Equilateral Triangle Formula: h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60 degrees. Sides of Equilateral Triangle: a equals b equals c.
How do you calculate the exterior angles of a triangle?
Formula to calculate the interior angles in regular polygon is `((n-2)xx180)/n` . Formula to calculate the exterior angles in regular polygon is `360/n` . If we want to calculate the unknown angle in triangle means we can use sum of interior angle formula as A + B + C = 180. Formula to calculate the supplementary angle is A + B = 180.
What is the apothem formula?
Calculating from a Regular Hexagon with a Given Apothem Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem. Write down the apothem. Let’s say the apothem is 5√3 cm. Use the apothem to find the perimeter.
How do you calculate the area of a regular pentagon?
To calculate the area of a regular pentagon, the perimeter of the polygon is multiplied by the apothem and the result is divided in half. The mathematical formula for the calculation is area = (apothem x perimeter)/2.
How do you calculate the area of a regular polygon?
Know the correct formula. The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let’s use a hexagon (6 sides) with a side (s) length of 10.
