## What is the area of an equilateral triangle with side 4?

Area of equilateral △=43 a2=43 ×4×4=43 cm2.

## What is the length of the altitude of an equilateral triangle whose side has length 4?

A median( from any point of the triangle ) divides the triangle into two equal triangles( thus, they are congruent to each other ). Here, Side of triangle is 4 cm in length. Hence, length of altitude of the triangle is 2√3 cm.

## How do you find the length of a side of an equilateral triangle?

An equilateral triangle has a perimeter of units. What is the length of each side? Explanation: Because an equilateral triangle has three sides that are the same length, divide the given perimeter by 3 to find the length of each side.

## What is the length of an equilateral triangle?

Explanation: Equilateral triangles have sides of all equal length and angles of 60°. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles.

## 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.

## What is the height of an equilateral triangle with a side length of 8 in?

Find the height of an equilateral triangle with side lengths of 8 cm. 8/2 = 4 4√3 = 6.928 cm. When do you use decimals and when do you use the answer with a square root. The answer with the square root is an exact answer.

## Is the Apothem half of the height?

Note that the apothem of the triangle (labeled in Figure 11 as r1) is now equal to 1/3 the height. The centroid of an equilateral triangle is the intersection of the medians of the triangle . The median of an equilateral triangle is congruent to the apothem. .

## How do you find the diagonals of a equilateral triangle?

To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula ​a2​ + ​b2​ = ​c2​, where ​a​ and ​b​ are the lengths of the perpendicular sides and ​c​ is the length of the hypotenuse.

## How do you find the altitude of a triangle given two sides?

Given triangle area Well-known equation for area of a triangle may be transformed into formula for altitude of a right triangle: area = b * h / 2 , where b is a base, h – height. so h = 2 * area / b.

## Is an altitude in triangle ABC?

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. An altitude is drawn from point B to point D on side A C to form a right angle.