Area of equilateral triangle is equal to

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The equilateral triangle calculator will help you with calculations of standard triangle parameters. Whether you are looking for the equilateral triangle area, its height, perimeter, circumradius, or inradius, this great tool is a safe bet. Scroll down to read more about valuable formulas such as the one used to calculate the height of an equilateral triangle and learn what an equilateral triangle is. The equilateral triangle, also called a regular triangle, is a triangle with all three sides equal. What are the other important properties of that specific regular shape? The equilateral triangle is a special case of an isosceles triangle, having not just two but all three sides equal. If you would like to learn more about the isosceles triangle, our isosceles triangle calculator is just the tool you need.

Area of equilateral triangle is equal to

Area of an equilateral is the region bounded within the three sides of the triangle. In other words, the area of an equilateral triangle is the total region enclosed within the boundary of the triangle. An equilateral triangle is a triangle in which all sides are equal and all interior angles are congruent. In the equilateral triangle ABC shown below, the area of the triangle is the green shaded region. To find the area of an equilateral triangle, simply substitute the length of the side in the following formula:. Example: Find the area of an equilateral triangle side of 4 units. The formula to calculate the area of an equilateral triangle is given as,. We can derive the above formula to find the area of an equilateral triangle in the following three ways. To find the area of any triangle, we require the length of the base and the height, since the general formula is:. First, we will calculate the height of an equilateral triangle in terms of the side length. How are the angles of an equilateral triangle related to its area? If two sides and the included angle between two sides is known, we use the following variations to find the area of a triangle. There are three ways to use the same formula based on which side and included angle are given. What are the angles of an equilateral triangle? Find the area of an equilateral triangle whose perimeter is 12 inches.

Substitute known values into the area formula. The area of an equilateral triangle calculator is an online tool used to determine the area. Did not receive OTP?

This means that each side is equal to The height of the equilateral triangle EFG creates two triangles, each with a hypotenuse of 10 and a short side equal to 5. An equilateral triangle has three congruent sides and results in three congruent angles. Recall that an equilateral triangle also obeys the rules of isosceles triangles. That means that our triangle can be represented as having a height that bisects both the opposite side and the angle from which the height is "dropped.

The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional plane. Learn more about isosceles triangles, equilateral triangles and scalene triangles here. Now, apply Pythagoras Theorem in the triangle. If two sides of a triangle are given, then the height can be calculated using trigonometric functions. Now, the height of a triangle ABC will be-. There are mainly three types of triangles which are scalene triangles, equilateral triangles and isosceles triangles.

Area of equilateral triangle is equal to

The area of an equilateral triangle is the total region enclosed by its sides in a two dimensional plane. We will derive the formula for the area of an equilateral triangle with the use of the general triangle area formula and solve some real world problems for a better understanding of the concept. Read More Read Less. An equilateral triangle is a triangle whose all sides and all angles are equal. It is the smallest closed regular polygon. All equilateral triangles are similar. Since triangle ADC is a right angle triangle use Pythagoras theorem to find the relation between a and h.

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Substitute known values into the area formula. What is the Formula for Perimeter of Equilateral Triangle? The equilateral triangle area formula is used to calculate the space occupied between the sides of the equilateral triangle in a 2D plane. Copyright holder you represent if other than yourself. Example 1: given base length and height Find the area of the triangle below: Identify the base and perpendicular height of the triangle. Our Journey. Post My Comment. Find the height of the triangle. Andy Certified Tutor. The pythagorean theorem explains a relationship between the sides of all right triangles right-angled triangles. Learn Practice Download.

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Now, apply Pythagoras Theorem in the triangle. These cookies do not store any personal information. John Certified Tutor. Rotating the triangle makes it easier to identify the base and height. The next lessons are Area of a quadrilateral Perimeter 3D shapes Volume. Always on the lookout for fun math games and activities in the classroom? An equilateral triangle is a triangle where all angles and sides are equal — making it a regular polygon. Subject optional. Example Question 2 : Equilateral Triangles. Let's take an example from everyday life: we want to find all the parameters of the yield sign. Still stuck? A few things to note: The height of an equilateral triangle is always a perpendicular line that starts at a vertex and intersects with the opposite side of the triangle at a 90 degree angle. Each week, our tutors support thousands of students who are at risk of not meeting their grade-level expectations, and help accelerate their progress and boost their confidence. This regular triangle has all sides equal, so the formula for the perimeter is:.