![]() So we can apply the formula to directly find the area of this triangle.Īrea = √3a 2/4 = √3 × 4 2/4 = 4√3 units 2Įxample 2: Find the perimeter of the triangle whose sides are given as 3 cm, 4 cm, and 5 cm.įor any equilateral triangle the perimeter is calculated as 3 × sĮxample 5: Find the area of an equilateral triangle when the perimeter is 18 cm. Determine the area of an isosceles triangle with a base of 12 feet and each of the congruent sides measuring 9 feet. Given a right triangle with one leg measuring 10 meters and the other leg measuring 24 meters, what is the area of triangle 4. Solved Examples on Area of Equilateral triangleĮxample 1: Find the area of the triangle whose all sides measure 4 units.Īs given all sides are of equal length hence, we can say that it is an equilateral triangle. Calculate the area of an equilateral triangle with a side length of 6 centimeters. Perimeter of an equilateral triangle is 3a.Area of an equilateral triangle is √3 a 2/ 4.In an equilateral triangle, there are three lines of symmetry and also 3rd order rotational symmetry as well.Ortho-centre and centroid of an equilateral triangle are the same points.For an equilateral triangle, the median, angle bisector, and perpendicular all are the same.In an equilateral triangle, all three internal angles are equal to each other and their value is 60°.All three sides are equal in an Equilateral Triangle.A few important properties of an equilateral triangle are: For an equilateral triangle PQR, PQ = QR = RP. Let’s learn the formula used to define the area of an equilateral triangle.Īn equilateral triangle is one triangle in which all three sides are equal. Area of an equilateral depends upon the length of a side of an equilateral triangle. Area of an equilateral triangle is measured in square units. What is the Area of the Equilateral Triangle?Īrea of an Equilateral Triangle is the region that is enclosed by the boundary of the triangle. Understanding the area of an equilateral triangle is essential in many fields, including architecture, engineering, and science. In a lot of real-life application area of an equilateral triangle is used to solve problems such as the calculation of the surface area of a regular polyhedron, the amount of material required for the construction of architectural structures, etc. It is a three-sided regular polygon i.e., all three sides are equal in length, and all the interior angles are also equal in measure i.e., 60°. An Equilateral triangle is a fundamental geometric shape that has excited mathematicians and scholars for centuries. Software Engineering Interview QuestionsĪrea of an equilateral triangle is the space occupied by an equilateral triangle.Top 10 System Design Interview Questions and Answers.Top 20 Puzzles Commonly Asked During SDE Interviews.Commonly Asked Data Structure Interview Questions.Top 10 algorithms in Interview Questions.Top 20 Dynamic Programming Interview Questions.Top 20 Hashing Technique based Interview Questions.Top 50 Dynamic Programming (DP) Problems.Top 20 Greedy Algorithms Interview Questions.Top 100 DSA Interview Questions Topic-wise.
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