# What is the length of median of equilateral triangle?

Space and Astronomy6. The length of the median of an equilateral triangle is **always equal**.

## How do you find the length of a median of a triangle?

Video quote: *Of the length of median from vertex a and similarly you can write the formula for the length of median from vertex b. This will be equal to half of root of 2 a squared. Plus 2 c squared.*

## How do you find the sum of the length of the median in an equilateral triangle?

we know that in equilateral triangle median and altitudes coincide. total length of all median are=**3×4√3=12√3**.

## Are median equal in equilateral triangle?

A meridian divides a side into two equal parts. Hence, proved that **medians of an equilateral triangle are equal** .

## What is the formula for the length of an equilateral triangle?

Formulas and Calculations for an Equilateral Triangle:

Perimeter of Equilateral Triangle: **P = 3a**. Semiperimeter of Equilateral Triangle Formula: s = 3a/2. Area of Equilateral Triangle Formula: K = (1/4) * √3 * a2.

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

Video quote: *I just plug in Y and for each of these side lengths so now I can find the measurement of each side. So 2 times 8 is gonna be 16 plus 1 equals manthe or no 3 times 8 is 24 plus 5 is 29.*

## How do you find the length of an equilateral triangle given the area?

If the area of an equilateral triangle is known, we put the given value in the following formula and solve for the length of the side: **Area of equilateral triangle = (√3/4)a ^{2}** where a is the length of the side of the equilateral triangle.

## What is the length of an equilateral triangle of side 8 cm?

Let us consider an equilateral triangle ABC with sides 8 cm each. Let AD be the altitude of the triangle. AD is perpendicular to BC and D is the midpoint of BC. So, BD = 8/2 = **4 cm**.

## What is the length of side of an equilateral triangle of altitude 4 √ 3 cm a 4 cm B 6 cm C 4 √ 3 cm D 8 cm?

Hence, the length of each side of an equilateral triangle is **4 cm**.

## What is the length of an altitude of an equilateral triangle of side 8cm a 2 √ 3cm B 3 √ 3cm C 4 √ 3 cm D 5 √ 3cm?

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

## What is the length of an altitude of an equilateral triangle of side 8cm a 2 √ 3 cm?

⇒ AD = √48 = **4√3 cm**. Hence, altitude of an equilateral triangle is 4√3 cm.

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

Altitudes of a Triangles Formulas

Triangle Type | Altitude Formula |
---|---|

Equilateral Triangle | h = (½) × √3 × s |

Isosceles Triangle | h =√(a^{2}−b^{2}⁄2) |

Right Triangle | h =√(xy) |

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

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 with side a?

In an equilateral triangle with side a, prove that altitude is **√3a2**.

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

Hence, altitude of an equilateral triangle is **4√3 cm**. Was this answer helpful?

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

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

## 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.

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

Side of triangle is 4 cm in length. Hence, length of altitude of the triangle is **2√3 cm**.

## What will be the length of the altitude of an equilateral triangle whose side is 9 cm?

Think of the altitude as a line that divides the equilateral triangle into two equal parts. Each part is a 30, 60, 90 triangle. The altitude of the triangle corresponds to the x side of the equilateral triangle. So: **9=x , and x=9/** .

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

Answer: The height of an equilateral triangle is =**side/2 ×√3**. Put the side value and you will get-5/2*√3 units.

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

The length of an altitude of an equilateral triangle having side length of 6 cm is **2√6 cm**.

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