Search results
Altitude of an Equilateral Triangle. The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side. It is interesting to note that the altitude of an equilateral triangle bisects its base and the opposite angle.
Altitude of an Equilateral Triangle. A triangle in which all three sides are equal is called an equilateral triangle. Considering the sides of the equilateral triangle to be 'a', its perimeter = 3a. Therefore, its semi-perimeter (s) = 3a/2 and the base of the triangle (b) = a.
Get the formulas for Area of Equilateral triangle, Perimeter and Semi-perimeter of Equilateral triangle, Altitude of Equilateral triangle with solved examples at BYJU'S.
The height of an equilateral triangle can be determined using the Pythagoras theorem. It is also called altitude of an equilateral triangle. As we know, an equilateral triangle has all equal sides. Now, if we drop an altitude from the apex of the triangle to the base, it divides the triangle into two equal right triangles.
May 9, 2023 · To derive the formula of altitude of an equilateral triangle, two different methods can be used. They are given below: Using Trigonometric Function. In the given ABC, AB = BC = AC, and AE is the altitude that divides the base BC equally into BE and EC. In ABC, sin60° = Perpendicular/Hypotenuse. √3/2 = h/a [∵ sin60 = √3/2] h = √3/2a.
The altitude of a triangle formula for an equilateral triangle is expressed as: h= (a√ 3)/2. Where 'a' is the side of an equilateral triangle. What Is the Altitude of A Triangle Formula for a Right Triangle?
In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the side opposite the vertex. This line containing the opposite side is called the extended base of the altitude. The intersection of the extended base and the altitude is called the foot of the altitude.
An altitude of a triangle is a line which passes through a vertex of a triangle, and meets the opposite side at right angles. For more on this see Altitude of a Triangle . The three altitudes of a triangle all intersect at the orthocenter of the triangle. See Constructing the orthocenter of a triangle . Method.
Nov 7, 2020 · The altitude (h) of the equilateral triangle (or the height) can be calculated from Pythagorean theorem. The sides a , a/2 and h form a right triangle . The sides a/2 and h are the legs and a the hypotenuse .
An altitude of an equilateral triangle is also an angle bisector, median, and perpendicular bisector. The three altitudes of an equilateral triangle intersect at a single point. The three altitudes extending from the vertices A, B, and C of ABC above intersect at point G.
