And therefore the area is. Hi dearsmy self SLKhere in this section we will be deriving a simple formula to calculate the area of an equilateral triangleremember an equilateral trian.
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Your final answer must be given in units 2.
Equilateral triangle area equation. And the height can be calculated using the Pythagorean Theorem as. Note how the perpendicular bisector breaks down side a into its half or a2 Now apply the Pythagorean theorem to get the height h or the length of the line you see in red a 2 a2 2 h 2. Equilateral Triangle Area The area of a flat figure like the Equilateral Triangle represents the size of its surface.
The common formula for the area of a triangle is. Draw the perpendicular bisector of the equilateral triangle as shown below. Properties of an Equilateral Triangle 1.
Lets say that this triangle right over here is equilateral which means all of its sides have the same length and lets say that that length is s what I want to do in this video is come up with a way of figuring out the area of this equilateral triangle as a function of s and to do that Im just going to split this equilateral in two Im just going to drop it Im just going to drop an altitude. Here are the formulas for area altitude perimeter and semi-perimeter of an equilateral triangle. It is expressed in square units.
In an equilateral triangle ABC AB BC CA. Try thisDrag the orange dots on each The formula shown will recalculate the area using this method. The formula to find the area of any triangle is.
The area of an equilateral triangle is defined as the region covered within the three sides of an equilateral side. The triangle in which all sides and angles are equal or 60 is an equilateral triangle. The area of an equilateral triangle all sides congruent can be found using the formula where s is the length of one side of the triangle.
XXXXX 3s2 4. For an equilateral triangle with sides of length s. Cm 2 m 2 mm 2.
Some important properties of an equilateral triangle are. One of the most interesting and useful properties of an equilateral triangle is that its altitude angle bisector and median from any of its vertices are coincident they are the same line segment. Where b is the base length and h is the height of the triangle.
Area of an equilateral triangle formula. The multiplication of base b with height h and dividing by 2 will give us the area of an equilateral triangle. Consequently each of its three interior angles measure a third of 180circ which is 60circ each.
Since all sides of an equilateral triangle are the same side Aside C. You must have observed the danger sign near the factory or the construction site. That is also a real-life example of an equilateral triangle.
Signs The formula of area of an equilateral triangle is multiplying the square of the side by root three by four. Height s2 s 22. It is a special case of the isosceles triangle where the third side is also equal.
XXXArea baseheight 2. Area of an equilateral triangle 34 side2 Equilateral triangle. Some important units used to express the area of an equilateral triangle are in 2 m 2 cm 2 yd 2 etc.
A 1 2bh A 1 2 b h. Or 34 a 2 Example 1. And since the base of the right triangle is half the side length of the equilateral triangle side Aside C2.
Equilateral Triangle Formula As the name suggests equi means Equal an equilateral triangle is the one where all sides are equal and have an equal angle. In ABC sides AB BC CA 2. All three sides are equal.
Now lets plug in the height base and side length of C for the hypotenuse to isolate the value of h. XXXXX s 23. This can be shortened to.
In other words the area will be one-half of the base a times its height. Area of a triangle base height 2 Area of a triangle base height 2. An equilateral triangle is one in which all three sides are equal in length.
An equilateral triangle is the one in which all three sides are equal. The internal angles of the equilateral triangle are also the same that is 60 degrees.
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