It will have 3 equal sides of 20cm
Using Pythagoras's' theorem its height is 17.32050808cm
Using the formula for area:1/2*base*height its area is 173.32050808cm2
Area = 1/2*base*perpendicular height.
It is two-thirds of the triangle's height.
By using Pythagoras' theorem
By using Pythagoras' theorem.
In effect an equilateral triangle is made up of two right angle triangles joined together so use Pythagoras' theorem to find the height:- 182-92 = 243 and the square root of this will be the height of the equilateral triangle which is about 15.588 cm
The base is one third of the perimeter, half of the base times the height is the area.
Area = 1/2*base*perpendicular height.
square root (3) * side length / 2
If each side is 1 cm then the height is 0.86603 cmIf the perimeter is 1 cm then the height is 0.28868 cm
Let's express the side length of an equilateral triangle, a, in term of the height h.a = (1/3)(h)(sq.root of 3)The perimeter equals to 3a. So we have:3a = 3[(1/3)(h)(sq.root of 3)] = (h)(sq.root of 3)] = 18(sq.root of 3)
No. 1/2 base squared + height squared=side squared on an equilateral triangle.
-- Imagine what you have if you slice the triangle in half along the height ...-- You have a right triangle. One side of it is 1/2 of the base, and one side isthe height.-- The slanting side is the hypotenuse of the right triangle, and knowing whatyou know about right triangles, you can calculate its length.-- Once you do that, you have the lengths of all three sides of the original triangle,and you can calculate the perimeter.
It is possible depending on what type of triangle it is. For instance if it was an equilateral triangle then all sides would be equal and then by means of Pythagoras' theorem you could work out the height of the triangle and using the formula: 1/2*base*height = area
8.7
The perimeter is the sum of all four sides, so you need to calculate 2 x length + 2 x height. The fact that the rectangle is at the bottom of a triangle is irrelevant - except that in specific diagrams, information may be provided that lets you calculate the length or the width of the triangle.
An equilateral triangle with a height of 20 has a base of 23.1 (23.09401), not 15. If the base is 15 then the height will be 13 (12.99038).
the height is 4.33 units cos 30 = .866 15 / 3 = 5 5 x .866 = 4.33