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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.