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

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

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 will be 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 length of altitude of an equilateral triangle of side 8cm?

4√3 cm
The altitude of an equilateral triangle of side 8 cm is 4√3 cm.

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

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

What is the length of an altitude of an equilateral triangle of side 8?

Summary: The altitude of an equilateral triangle of side 8 cm is 4√3 cm.

What is the length of an equilateral triangle?

60°
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°….

Equilateral triangle
Area
Internal angle (degrees) 60°

What is the length of an altitude of an equilateral triangle of side 5cm?

The area of the triangle is 75✓3 cm². Before calculating the area of the triangle we have to also calculate the height of the triangle. So,the length of the one side of the triangle is 10/✓3 cm.

What is the altitude of an equilateral triangle of side 8 cm?

How do you find the altitude of an equilateral triangle?

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 is the length of 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 the altitude of an equilateral triangle whose side has a length of 8?

Hence, altitude of an equilateral triangle is 4√3 cm.