answersLogoWhite

0

Let a be the length of the side. If we draw the height (altitude) of the equilateral triangle which also is a median, then the one half of the side is a/2. From the Pythagorean theorem,

h = √[(a^2 - (a/2)^2] = √(a^2 - a^2/4) = √[(3a^2)/4] = (a/2)√ 3

User Avatar

Wiki User

16y ago

What else can I help you with?

Related Questions

What triangle uses half of base times height?

Equalateral


How will you find the height of a triangle?

You will use what you know about the triangle, including the size of sides or angles of that specific triangle, plus properties of any special category of triangles of which it is a member, to calculate the unknown height.


How do you find the height of an equalateral triangle?

To find the altitude or height of an equilateral triangle, take one-half of the length of a side of the triangle and multiple by "square root" of 3. So, if for example, the side has length 10, the height = 5 Square root of 3.


How do you calculate height of triangle?

Messure it,


What does external angles mean the area of the triangle?

The 3 external angles of a triangle add up to 360 degrees Area of a triangle is 0.5*base*height


How do you find the base and height of an isosceles triangle?

An isosceles triangle has 2 equal base angles and its height is perpendicular from its apex to the centre of its base


How do you calculate the height of the triangle when you have the base and an angle?

something


How do you find the height of a triangle if you only have the base and two angles?

Use trigonometry depending on what type of triangle it is.


How do you calculate the square meters of a triangle?

The area of a triangle is base x height / 2. Height should be perpendicular to base.


How do you calculate the height of a non right triangle?

The answer depends on what information you do have about it.


How do you calculate the height of a right triangle given the base length and all three angles?

if you have a regular triangle u have to use the paythagorem theory A squared plus b squared equals c squared and than u have to take half the base of the triangle and the number of one of the sides and substitute into the equation and solve the b squared should be the height of ur triangle :)


How do you find out the height of a triangle if only the 3 angles are given?

It is impossible to find a triangle if only angle measures are given (all similar triangles have the same angles).