Let a be the length of the sides, A - the area of the triangle, p the perimeter, R - the radius of the circumscribed circle, r - the radius of the inscribed circle, h - the altitude (height) from any side.. Consequently, each of its three interior angles measure a third of \[180^\circ \], which is \[60^\circ \] each. Find the area of an equilateral triangle with an apothem having a length of 4 feet. Example 1. Calculates the area, perimeter and height of an equilateral triangle given the side. Note how the perpendicular bisector breaks down side a into its half or a/2 . Now, area of the equilateral triangle is given as: C equivalent expression to find area of equilateral triangle - (sqrt(3) / 4) * (side * side) Logic to find area of equilateral triangle. Area of traingle = 1/2×Base×Height For an equilateral triangle each angle is equal to 60 degrees. Java Area of an Equilateral Triangle.


Draw an altitude h perpendicular to AB, it will bisect the line segment AB. Properties of equilateral triangle. Step 1. So we just have to figure out what the area of each of these equilateral triangles are. An equilateral triangle is a triangle with all three sides of equal length. Area of an equilateral triangle (Triangle Formula) Equilateral triangle: A figure enclosed by three equal sides is known as a triangle.. Area of an equilateral triangle = √3/4(side)2. An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. (Round to the nearest tenth.) Draw an altitude h perpendicular to AB, it will bisect the line segment AB. And secondly all the angles are also equal in it which is 60° . In equilateral triangle all the sides are equal means (AB= BC=AC) ! The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional surface. Label the sides. If we know the side, then calculate the area of an Equilateral Triangle … An equilateral triangle is one in which all three sides are equal in length. We need to find the area of a triangle, which is given by the formula Area Triangle =(Height*Base)/2. The area of an equilateral triangle (all sides congruent) can be found using the formula where s is the length of one side of the triangle. The area of a triangle is defined as the total space that is enclosed by any particular triangle. Hello friends , Firstly we all should know What equilateral triangle is ? Strategy for finding the area of an equilateral triangle. Answer: (C) Step-by-step explanation: From the given figure, it can be seen that the all the sides of the triangle are equal and are equal to a. We need to find the area of a triangle, which is given by the formula Area Triangle =(Height*Base)/2. Solving, . Draw the perpendicular bisector of the equilateral triangle as shown below. A triangle is a two-dimensional figure that has three sides and three vertices or corners. The Equilateral Triangle is a triangle of equal sides and all angles are equal to 60 degrees. Now apply the Pythagorean theorem to get the height (h) or the length of the line you see in red. The area of an equilateral triangle is , where is the sidelength of the triangle.. Let’s work backwards from the required answer. Using the Pythagorean theorem, we get , where is the height of the triangle. And so to do it, we remember that the area of a triangle is equal to 1/2 base times height. Equilateral triangle: The triangle in which all sides and angles are equal or 60 is an equilateral triangle.. or √3/4(a) 2.
By HL congruence, these are congruent, so the "short side" is .. Explanation: . We will deal with the main properties of an equilateral triangle, which will help us solve these types of problems.. Property 1: In an equilateral triangle the notable lines: Median, Angle Bisector, Altitude and Perpendicular Bisector are equal in segment and length. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles. So, an equilateral triangle’s area can be calculated if the length of its side is known. units. Let’s work backwards from the required answer. Method 1: Dropping the altitude of our triangle splits it into two triangles.