How do you find the side of an equilateral triangle given altitude?

How do you find the side of an equilateral triangle given altitude?

Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.

What will be the area of an equilateral triangle of side 8 cm?

∴ area of this equilateral triangle =43 ×82=163 cm2.

What is the altitude of an equilateral triangle of side 6 cm?

Answer: The height of the given equilateral triangle of side 6cm is h = 3√3 cm.

What is the length of the height of an equilateral triangle of side A?

Finally we get the length of altitude of an equilateral triangle as AD=√3a24=√3a2. Therefore for an equilateral triangle having each side equal to a, we get a length of an altitude as √3a2 thus option b) is the correct answer.

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. An equilateral triangle has sides of equal length.

Is the Apothem half of the radius?

The apothem of a regular polygon is a segment connecting the center of the polygon to a midpoint of one of the sides, and the radius of a regular polygon is a segment connecting the center of the polygon to one of the vertices. The apothem is perpendicular to the side it meets. All apothems are congruent.

Is the Apothem equal to the side length?

The apothem of a square is equal to half of its side length.

Is the Apothem the same as a side?

For an equilateral triangle, the apothem is equivalent to the line segment from the midpoint of a side to any of the triangle’s centers, since an equilateral triangle’s centers coincide as a consequence of the definition.

What’s the length of the Apothem?

approximately 15 inches

How do you find the perimeter of a 5 sided polygon?

For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.

How do you find the perimeter?

Explanation: To find the perimeter of a rectangle, add the lengths of the rectangle’s four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width).