answersLogoWhite

0


Best Answer

The altitude of an equilateral triangle bisects the base.

So, if the sides of the triangle were l cm, the altitude forms a right angled triangle with sides h, l/2 and hypotenuse l cm.

Then, by Pythagoras, h2 = 3l2 / 4 so that h = l*sqrt(3)/2

and then area = l*h/2 = l*[l*sqrt(3)/2]/2 =l2*sqrt(3)/4

User Avatar

Wiki User

βˆ™ 14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Find the area of an equilateral triangle with altitude h cm?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Area of a equilateral triangle?

Area = 0.5*base*altitude


What is the area of an equilateral triangle that has an altitude of 9?

35.074 units2


How do you find the area of an equalateral triangle?

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


What is the area of an equilateral triangle whose altitude is 4?

It is double the length of the base, in square units.


What is the area of an equilateral triangle that has a perimeter of 71 feet?

Find the area of an equilateral triangle if its perimeter is 18 ft


FORMULA- area of equilateral triangle?

Area of Equilateral Triangle A= S2 * (Root 3)/4, where A= Area of the triangle S= Side of the triangle.


How do you find the altitude of a triangle?

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


Find the area of an equilateral triangle that has a perimeter of 21 inches Round the answer to one decimal place?

Find the area of an equilateral triangle that has a perimeter of 21 inches. Round the answer to one decimal place.


What is the formula for finding altitude and area of equilateral triangle?

The altitude formula is like this: Area x 2 divided by the base ( Ax2:b) The area formula is base x height divided by 2


How do you find the area of each face on an equilateral triangle?

Area of an equlateral triangle = 0.5*side2*sin(60)


Find the area of an equilateral triangle with side 10?

Finding the perpendicular height of the triangle by using Pythagoras works out at about 8.660254038. 1/2*base*perpendicular height or altitude = area 1/2*10*8.660254038 = 43.30127019 square units


If one side of an equilateral triangle is 12Cm find the Area?

Use Pythagoras' theorem to find the triangle's altitude or height: 122-62 = 108 and the square root of this is 10.39230485 1/2*base*height = area 1/2*6*10.39230485 = 31.17691455 square units