Provided that you know the length of a side, the area of an equilateral triangle can be found with a straightforward formula. B. Area of Equilateral Triangle = (√3/4)a 2 sq. Equilateral Triangle Area Calculator is a free online tool that calculates the solution for given inputs within a fraction of seconds. C. 2 4. Recommended: Please try your approach on first, before moving on to the solution. The Equilateral Triangle is a triangle of equal sides and all angles are equal to 60 degrees. The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional plane. B. Area of equilateral triangle inscribed in a circle of radius R will be 20.784, whereas side of the triangle will be 6.928. Answer verified by Toppr . To recall, an equilateral triangle can be defined as a triangle in which all the sides are equal and the measure of all the internal angles is 60°. Thus, one of the legs of the triangle is #1/2s#, and the hypotenuse is #s#.We can use the Pythagorean Theorem or the properties of #30˚-60˚-90˚# triangles to determine that the height of the triangle is #sqrt3/2s#.. If we know the side of an Equilateral Triangle then, we can calculate the area of an Equilateral Triangle using below formula. 1. import java. Find the area of an equilateral triangle with side 1 0 c m. A. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. C. 2 4. Area of the equilateral triangle is 83.14(2dp) cm^2 We know area of an equilateral triangle with apothem (a) as A_t=3*a^2*tan60 = 3*16*sqrt3=48*sqrt3=83.14(2dp) cm^2[Ans] If we know the side, then calculate the area of an Equilateral Triangle … The area of an equilateral triangle is easy to calculate as the triangle is symmetrical, and each side of the triangle is equal. Given an integer A, which denotes the side of an equilateral triangle, the task is to find the maximum area of the rectangle that can be inscribed in the triangle. D. None of the above. D. 3 0 6. Thus its area = 4 3 × 1 0 2 cm 2 = 2 5 3 cm 2. Deriving the Formula to Find the Area of Equilateral Triangle. Program to find the area of an equilateral triangle Explanation. Formula: Are of an equilateral triangle having side length a is given by, 4 3 a 2. Correct option is . Equilateral triangles are another type of triangle with unique characteristics. So, an equilateral triangle’s area can be calculated if the length of any one side of the triangle is known. Answer. To find the area, we can first find the height. To find the area of an equilateral triangle program uses square-root and power functions. Algorithm. The formula is given below. The math library has both these functions and can be used to do the calculation in the program. Step 1 Use this formula for the area of an equilateral triangle: Picture below. _\square Theorems involving Equilateral Triangles. area = (sqrt (3) / 4) * (side * side). Area of an equilateral triangle = √3/4(side)2. Area of Equilateral Triangle. If you have any 1 known you can find the other 4 unknowns. Solution: Base of the triangle = 5.2 cm, Altitude = 7 cm. Area of an Equilateral Triangle Example 3: The area of a triangle, whose base and corresponding altitude are 5.2 cm and 7 cm, is equal to the area of a right triangle whose one of the sides containing the right angle is 3.5 cm. Find the area of an triangle whose side is 44cm. We are glad to help you out. In this Python program, we will learn how to find the area of an equilateral triangle. While calculating the Area of Equilateral Triangle, the angles of the triangles also bear a great significance in geometry. Area of an Equilateral Triangle. Perimeter of equilateral triangle = 3 * a. Input: R = 7 Output: 63.651 Explanation: Area of equilateral triangle inscribed in a circle of radius R will be 63.651, whereas side of the triangle will be 12.124 . Area of square area of equilateral triangle area of. Finally, print the value of resultant area. See also. 1 2. Area = (sqrt 3)/4 * a^2. Equilateral Triangle. Where \[\sqrt 3 \]= 1.732 Derivation of the Area of An Equilateral Triangle. 2 4 3 c m 2. units. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … Use the formula of equilateral triangle to find area i.e. For equilateral triangles h = ha = hb = hc. Example 1. The formula to calculate the area of an equilateral triangle is given by. 1) Java. A Triangle is having all angles of 60 degrees and congruent sides, or equiangular triangle is called Equilateral Triangle. s = length of a side . A. School Banasthali Vidyapith; Course Title MATHEMATIC MATH106; Uploaded By ayushiF. Answer. Medium. Find the other side of the triangle. Then there is the complete tutorial on how this java code will actually work to calculate the area of an equilateral triangle, we mostly covered each and every line of code here if you have any doubts related to this question then do comment here. The area of an equilateral triangle is 1 6 3 m 2. If considered the angles as the parameter of identification for triangles, they could be classified into acute triangles, right-angled triangles, and obtuse triangles. We can also use the decimal value of \[\sqrt 3 \] to simplify our calculations. This practice set offers both geometric figures and word-format questions, enabling 8th grade and high school students to envisage an equilateral triangle as soon as they read the single side length. If we draw a line from one vertex to the middle point of the opposite line, then we will have two right-angled triangles which would be equal in size. Area and perimeter of an equilateral triangle can be found using the below formula, Area of equilateral triangle = (√3)/4*a 2. Correct option is . Let side of equilateral = a m. ∴ Area of equilateral = 1 6 3 m 2 ⇒ 4 3 a 2 = 1 6 3 ⇒ a 2 = 6 4 ⇒ a = 8 m. ∴ Perimeter of equilateral triangle = 3 a = 3 × 8 = 2 4 m. Answer verified by Toppr . The Equilateral Triangle is a triangle with all sides are equal and all of the angles are equal to 60 degrees. Equilateral triangle: A figure enclosed by three equal sides is known as a triangle. To recall, an equilateral triangle is a triangle in which all the sides are equal and the measure of all the internal angles is 60°.So, an equilateral triangle’s area can be calculated if the length of its side is known. The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional plane. Knowledge of these kinds of triangles will assist us in some of the proofs and exercises we will encounter in the future, so let’s take a closer look at the traits that make equilateral triangles special. Equilateral Triangles. util. Hence, the various methods to calculate the area of an equilateral triangle in C programming are as follows: Using Standard Method. 4 8. Area of Equilateral Triangles | Integers - Type 2. Area of Equilateral Triangle= ( 1.73 × a × a)/4. Answer to: Express the area and perimeter of an equilateral triangle as a function of the triangle's side length x. Area = (√3)/4 * s² (S = Any side of the Equilateral Triangle) Area of an Equilateral Triangle Calculator: Grasping the step by step process of calculating the Area of an Equilateral Triangle helps students to solve the Math problems easily in their higher classes. Input: A = 12 Output: 31.176 Explanation: The area formulas for all the different types of triangles like an area of an equilateral triangle, right-angled triangle, an isosceles triangle are given below. Java Area of an Equilateral Triangle. Among these types of triangle, the equilateral triangle is a triangle, where all the sides are of equal length and each interior angle measures 60 °. Area of equilateral triangle can be found using the formula given below. or √3/4(a) 2. 2 5 3 c m 2. solution: side= 44cm. This is a contradiction. We can see that if we split an equilateral triangle in half, we are left with two congruent equilateral triangles. where a is the length of each side of the triangle. Area of equilateral triangle of side a = a²√3/4 a²√3/4 = 36√3 a² = 36*4 a = 12 perimeter of equilateral triangle = 3a = 3*12 = 36 cm. C. 2 6 3 c m 2. Upvote (0) Was this answer helpful? The total sum of all the angles in a triangle is 180°. An Equilateral Triangle is a triangle where all 3 sides are of the same length. 2 5 3 c m 2. The area of the equilateral triangle is the region occupied by the equilateral triangle in a two-dimensional space. Define Values for side of triangle; Enter values in formula. Area of an Equilateral Triangle Formula. 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. Equilateral triangles have sides of all equal length and angles of 60°. Equilateral triangle: The triangle in which all sides and angles are equal or 60 is an equilateral triangle. Take an equilateral triangle of the side “a” units. Its perimeter (in metres) is: A. Explanation: . Area of square Area of equilateral triangle Area of circle k r y x 2 2 2 4 3. Here it is given that, side length , a = 1 0 cm. Thus, the area of an equilateral triangle = 1/2 * sqrt (3/4)a * a. Area of an equilateral triangle =\[\left( {\frac{{\sqrt 3 }}{4}} \right) \times {a^2}\]. 1)For calculating the area of an equilateral triangle, we need the only side of the triangle. The area of a right-angled triangle is 1/2 * base * perpendicular. Area of equilateral triangle formula- definition ,concept. What is the Equilateral Triangle? In geometry, an equilateral triangle is a triangle in which all three sides are equal. Logic to find area of equilateral triangle Input side of the equilateral triangle. where a is side. Store it in some variable say side. On the other hand, the area of an equilateral triangle with side length a a a is a 2 3 4 \dfrac{a^2\sqrt3}{4} 4 a 2 3 , which is irrational since a 2 a^2 a 2 is an integer and 3 \sqrt{3} 3 is an irrational number. Logic of Code. Pages 23 This preview shows page 12 - 15 out of 23 pages. 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