The area of an equilateral triangle is 16√3. what is the perimeter of the triangle

Equilateral triangle calculations This calculator uses the following formulas to find the missing values of a triangle. Perimeter: $$ P = 3 \cdot a $$ Area: $$ A = \frac $$ Example 01 : What is the area of an equilateral triangle whose side is $ 12 cm $. Solution: In this example we have $ a = 12 $. To find the area we will use formula $A = \dfrac $$ Example 02 : What is the side of an equilateral triangle whose height is 15 cm? Solution: In this example we have $ h = 15 $. To find height we will use formula $h = \dfrac $$

Created By : Reviewed By : Last Updated : Apr 21, 2023 Area of an equilateral triangle -An equilateral triangle has all its sides as equal. The perpendicular drawn from the vertex of the triangle to the base divides the base into two equal parts. To calculate the area of the equilateral triangle, we have to know the measurement of its sides. • • • • • • • • • • • • • • • • • • • • 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. Equilateral Triangle Area Calculator is a free online tool that calculates the solution for given inputs within a fraction of seconds. This calculator aids to save students valuable time while solving tough and difficult math problems. So, find the Area of an Equilateral Triangle in a short span with our easy to use Area of an Equilateral Triangle Calculator tool. By this online calculator, you can make your math calculations easier and faster with accurate results. Also, you can understand the calculation of the Area of an equilateral triangle by going through with our detailed explanation and solved examples. However, you may also learn what is Area of an equilateral triangle and how you can calculate the area from here. The area of an equilateral triangle is defined as the amount of space that remains on a 2D closed surface. Firstly, remember that an equilateral triangle is a triangle where all...

Area of Equilateral Triangle The area of an equilateral triangle is the amount of space that an equilateral triangle covers in a 2-dimensional plane. An equilateral triangle is a triangle with all sides equal and all its angles measuring 60º. The area of any shape is the number of unit squares that can fit into it. Here, 'unit' refers to one (1) and a unit square is a square with a side of 1 unit. Let us learn how to find the area of equilateral triangle using the equilateral triangle area formula with the help of solved examples. 1. 2. 3. 4. 5. Area of an Equilateral Triangle Formula The equilateral The general formula for the Area = 1/2 × base × height While the formula to calculate the area of an equilateral triangle is given as, Area = √3/4 × (side) 2 In the given triangle ABC, Area of ΔABC = (√3/4) × (side) 2, where, AB = BC = CA = a units Thus, the formula for the area of the above equilateral triangle can be written as: Area of equilateral triangle ΔABC = (√3/4) × a 2 Example: How to find the area of an equilateral triangle with one side of 4 units? Solution: Using the area of equilateral triangle formula: (√3/4) × a 2, we will substitute the values of the side length. Therefore, the area of the equilateral triangle (√3/4) × 4 2 = 4√3 square units. Area of Equilateral Triangle Proof In an equilateral triangle, all the sides are equal and all the internal Area of an equilateral triangle = (√3/4) × a 2 where, a = Length of each side of an equilateral triangle The abov...

Heron's Formula Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula. In this lesson, we will find how to determine the value of the area of triangles or quadrilaterals using Heron's formula with the help of solved examples for a better understanding of the application of the formula. 1. 2. 3. 4. 5. What is Heron's Formula? Heron's formula is used to determine the area of History of Heron's Formula Heron's formula was written in 60 CE by Heron of Alexandria. He was a Greek Engineer and Mathematician who determined the value of the area of the triangle using only the lengths of its sides and further extended it to calculate areas of quadrilaterals. He used this formula to prove the trigonometric laws such as Heron's Formula Definition As per Heron's formula, the value of the area of any triangle having lengths, a, b, c, perimeter of the triangle, P, and semi-perimeter of the triangle as 's' is determined using the below-given formula: Area of triangle ABC = √s(s-a)(s-b)(s-c), where s = Perimeter/2 = (a + b + c)/2 Example: Find the area of a triangle whose lengths are 5 units, 6 units, and 9 units respectively. Solution: As we know...

6:06 and from there, use the rules of the side of a 30:60:90 right triangle. You can find the side a/2 and the line from the center of the circle to where it reaches side a perpendicularly. With these you can find the eight of the triangle and the base. Then you can just subtract the area of the triangle to the circle. There may be multiple ways to tackle math problems. In fact I had to use the triangle area formula, law of cosines and knowledge of inscribed angles because this is the first time I hear about Heron's Formula. I can only suggest you to try to solve any problem using everything you know so far and afterwards watch the rest of the video. Maybe there will be a better and easier way that you can learn and use next time. (Sorry for my bad English) You are correct. But, here's how I would have done it: Area outside the triangle = πr² - ¼ a²√3 Because the area of an equilateral triangle is ¼ a²√3 Since a = r√3 also stated as a² = 3r² Substituting, πr² - ¾r²√3 Since r = 2, we get 4π - 3√3 = 7.370 Of course my way does require knowing that a² = 3r² for an inscribed equilateral triangle (though it isn't too hard to derive if you didn't know that) Your question is probably about finding the area of an equilateral triangle with an inscribed circle given the circle's radius. This turns out to be very similar to Sal's question! You can draw an equilateral triangle inside the circle, with vertices where the circle touches the outer triangle. Now, you know how to calculate ...