What is the length of an altitude of an equilateral triangle each of whose sides is 8cm long?

What is the length of an altitude of an equilateral triangle each of whose sides is 8cm long?

What is the altitude of an equilateral triangle when each of its sides are 8 cm? If the length of the altitude in an equilateral triangle is 8 cm, then how do you find its area? What is the altitude of any equilateral triangle? What is the formula of altitude of an equilateral triangle?

What is the length of an altitude of an equilateral triangle?

Finally we get the length of altitude of an equilateral triangle as $AD=\sqrt{\dfrac{3{{a}^{2}}}{4}}=\dfrac{\sqrt{3}a}{2}$. Therefore for an equilateral triangle having each side equal to a, we get a length of an altitude as $\dfrac{\sqrt{3}a}{2}$ thus option b) is the correct answer.

What is the altitude of an equilateral triangle whose sides are each 16cm long?

Find the length of its altitude. Let height or altitude of the triangle is h cm. So, altitude of given triangle is 8√3 cm.

What is the length of the side of an equilateral triangle if its altitude has a length of 8 radical 3?

Since the altitude is opposite the 60 degree angle, the altitude is equal to x√3 . We are trying to find the perimeter; we know that one side is 16. Alas, it is an equilateral triangle, so all of the sides are length 16.

What is the length of an altitude of an equilateral triangle of side 10cm?

you get x^2 + 5^2 = 10^2 which becomes x^2 + 25 = 100 which becomes x^2 = 75 which becomes x = sqrt(75). that’s the length of your altitude. you can simplify that to make it 5*sqrt(3).

What is length of an altitude?

The length of the altitude, often simply called “the altitude”, is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

What is the length of an altitude of an equilateral triangle of side 2a?

Hence, the length of the altitude of an equilateral triangle of side 2a cm is √3a cm.

What is the height of an equilateral triangle with side 6 cm?

Answer: The height of the given equilateral triangle is 3√3 cm.

How to find the length of the altitude of an equilateral triangle?

Find the length of the altitude of an equilateral triangle, each side measuring ‘a’ units. Find the length of the altitude of an equilateral triangle, each side measuring ′a′ units. The altitude of the euilateral triangle, bisects the base. Consider an equilateral triangle ABC, with AD as an altitude on BC.

What is the use of altitude in trigonometry?

The main use of the altitude is that it is used for area calculation of the triangle i.e. area of a triangle is (½ base × height). Now, using the area of a triangle and its height, the base can be easily calculated as Base = [ (2 × Area)/Height]

How do you find the semiperimeter of an equilateral triangle?

Semiperimeter of Equilateral Triangle: s = 3a / 2. Area of Equilateral Triangle: K = (1/4) * √3 * a 2. Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60°. Sides of Equilateral Triangle: a = b = c. 1. Given the side find the perimeter, semiperimeter, area and altitude.

How do you calculate the area of an equilateral triangle?

Formulas and Calculations for a equilateral triangle: Perimeter of Equilateral Triangle: P = 3a Semiperimeter of Equilateral Triangle: s = 3a / 2 Area of Equilateral Triangle: K = (1/4) * √3 * a 2 Altitude of Equilateral Triangle h = (1/2) * √3 * a Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c

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