1)For calculating the area of an equilateral triangle, we need the only side of the triangle. Area of equilateral triangle formula- definition ,concept. Area of square area of equilateral triangle area of. Use the formula of equilateral triangle to find area i.e. Area = (√3)/4 * s² (S = Any side of the Equilateral Triangle) Thus its area = 4 3 × 1 0 2 cm 2 = 2 5 3 cm 2. 2 5 3 c m 2. Java Area of an Equilateral Triangle. Area and perimeter of an equilateral triangle can be found using the below formula, Area of equilateral triangle = (√3)/4*a 2. Store it in some variable say side. This is a contradiction. 2 5 3 c m 2. Logic of Code. 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. util. Algorithm. Area of an Equilateral Triangle Formula. C. 2 4. Input: A = 12 Output: 31.176 Explanation: 2 4 3 c m 2. Equilateral triangles have sides of all equal length and angles of 60°. For equilateral triangles h = ha = hb = hc. Deriving the Formula to Find the Area of Equilateral Triangle. 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 . Formula: Are of an equilateral triangle having side length a is given by, 4 3 a 2. Area of equilateral triangle can be found using the formula given below. To find the area of an equilateral triangle program uses square-root and power functions. While calculating the Area of Equilateral Triangle, the angles of the triangles also bear a great significance in geometry. Medium. units. Answer verified by Toppr . Find the area of an triangle whose side is 44cm. The math library has both these functions and can be used to do the calculation in the program. 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#.. Upvote (0) Was this answer helpful? An Equilateral Triangle is a triangle where all 3 sides are of the same length. Solution: Base of the triangle = 5.2 cm, Altitude = 7 cm. Correct option is . We can see that if we split an equilateral triangle in half, we are left with two congruent equilateral triangles. Recommended: Please try your approach on first, before moving on to the solution. The total sum of all the angles in a triangle is 180°. 4 8. 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. D. 3 0 6. 1) Java. C. 2 4. 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. What is the Equilateral Triangle? Where \[\sqrt 3 \]= 1.732 Derivation of the Area of An Equilateral Triangle. Step 1 Use this formula for the area of an equilateral triangle: Picture below. 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 . Logic to find area of equilateral triangle Input side of the equilateral triangle. 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. Area of an equilateral triangle =\[\left( {\frac{{\sqrt 3 }}{4}} \right) \times {a^2}\]. 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 Triangle Area Calculator is a free online tool that calculates the solution for given inputs within a fraction of seconds. 1 2. Area of an equilateral triangle = √3/4(side)2. The area of a right-angled triangle is 1/2 * base * perpendicular. Area of Equilateral Triangle= ( 1.73 × a × a)/4. Area of equilateral triangle inscribed in a circle of radius R will be 20.784, whereas side of the triangle will be 6.928. Equilateral triangle: A figure enclosed by three equal sides is known as a triangle. 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. 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] Pages 23 This preview shows page 12 - 15 out of 23 pages. 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. or √3/4(a) 2. area = (sqrt (3) / 4) * (side * side). If we know the side of an Equilateral Triangle then, we can calculate the area of an Equilateral Triangle using below formula. If you have any 1 known you can find the other 4 unknowns. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … Area = (sqrt 3)/4 * a^2. The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional plane. See also. A Triangle is having all angles of 60 degrees and congruent sides, or equiangular triangle is called Equilateral Triangle. To find the area, we can first find the height. Thus, the area of an equilateral triangle = 1/2 * sqrt (3/4)a * a. So, an equilateral triangle’s area can be calculated if the length of any one side of the triangle is known. 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. Answer to: Express the area and perimeter of an equilateral triangle as a function of the triangle's side length x. We can also use the decimal value of \[\sqrt 3 \] to simplify our calculations. We are glad to help you out. Area of an Equilateral Triangle. B. solution: side= 44cm. Area of square Area of equilateral triangle Area of circle k r y x 2 2 2 4 3. Provided that you know the length of a side, the area of an equilateral triangle can be found with a straightforward formula. Area of Equilateral Triangle = (√3/4)a 2 sq. Equilateral triangle: The triangle in which all sides and angles are equal or 60 is an equilateral triangle. B. In geometry, an equilateral triangle is a triangle in which all three sides are equal. 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 °. 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. The area of an equilateral triangle is easy to calculate as the triangle is symmetrical, and each side of the triangle is equal. 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. 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