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By using Pythagoras' theorem.

Q: How do you Find the length of an altitude of an equalateral triangle?

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By using Pythagoras' theorem.

Multiply the altitude by [ 2 / sqrt(3) ] to get the length of the side.[ 2 / sqrt(3) ] is about 1.1547 (rounded)

If you are given the length of 1 leg, L, and the altitude, A, the length of the base is the 2x square root of (L2 -A2 )

If 2 sides are known then use Pythagoras' theorem to find the 3rd side of a right angle triangle.

8.66cm; noIf you have heard of a 30-60-90 triangle with sides in the ratio of 1 to sqrt(3) to 2, then this should be easy:Draw an equilateral triangle with one side at the bottom. Find the middle of the base, and draw a vertical line to divide the triangle in two. (Sorry, I can't draw this!) Now suppose the length of each side of the equilateral triangle is 2 units. You have divided the base into two parts each with a length of 1.Each smaller triangle is a right triangle with hypotenuse 2 and one side 1 unit long. the 3rd side is the altitude of the equilateral triangle, call it h. Pythagoras tells us that 12 + h2 = 22 1 + h2 = 4 h2 = 4-1 = 3 h = sqrt(3).The height of an equilateral triangle is always sqrt(3) times half the length of a side. This comes out to about 0.866 times the length of a side, so if the side is 10cm long, the height will be 8.66cm.(The height isn't the same as one of the sides, it's about 13/15 of it.)

Related questions

By using Pythagoras' theorem.

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.

altitude(height)=(Area * 2) /length(Base)

Multiply the altitude by [ 2 / sqrt(3) ] to get the length of the side.[ 2 / sqrt(3) ] is about 1.1547 (rounded)

You can find it by using the Pythagorean theorem if you know the side and the base of triangle. In an isosceles triangle the median is also the altitude. The formula is: (The measure of the side length)^2 - (The measure of the one half of the base length )^2 = (The measure of the altitude)^2. Find the square root of the result that you'll have the measure of the altitude.

12

The altitude of an equilateral triangle is (√3)/2*a. where 'a' is the side of the triangle. It can be just find by giving a perpendicular to the base of the triangle, the base of the triangle become a/2 and one side is a. so by applying Pythagoras theorem we will get the desired formula.

The length of each side is 9.2376 cm. (rounded)

Do you mean an equilateral triangle? Then if so then the formula for the area of any triangle: 0.5*a*b*sinC whereas a and b are the embraced sides of angle C And in the case of an equilateral triangle it is: 0.5*any side squared*sin(60 degrees) Alternatively use Pythagoras' theorem to find the altitude of the triangle then use: 0.5*base*height = area

each angle is 60 degrees. If you know trigonometry sin 60 = Altitude/length of side (from Pythagoras) A = 9.526 inch Or, from Pythagoras theorem 5.5 squared + Altitude squared = 11 squared Altitude = 9.526

9.794747317 m (with the help of Pythagoras' theorem)

If you are given the length of 1 leg, L, and the altitude, A, the length of the base is the 2x square root of (L2 -A2 )