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the formula for the area of equilateral triangle with side length a is (a^2)(sqrt(3)/4 ) So draw an equilateral triangle with sides a,a,a. Now divide it into two triangles by bisecting the top angle and extending that line down so it makes a 90 angle with the base. (any angle will do since it is symmetric, but I am trying to help you draw it) Now the new half triangle you have is a 30 60 90 triangle since the top angle is half the original which was 60 and the lower left angle is still 60. The 90 degree angle is the third angle and we are drawing it this way so we have a that the side between the 30 and 90 degree angles is the height of the triangle and we can use 1/bh which is the area formula. The new base has length a and the height is sqrt3(a) because it is a 30-60-90 triangle so 1/2 bxh= 1/2(1/2 )a (sqrt3)a=(1/4)a^2( sqrt3 )since 1/2 base = a/4 and height is sqrt3 x a
What else can I help you with?
FORMULA- area of equilateral triangle?
Area of Equilateral Triangle A= S2 * (Root 3)/4, where A= Area of the triangle S= Side of the triangle.
What is the formula for the perimeter of a equilateral triangle?
Add the lengths of each side together to get the perimeter.
What is another name for a equilateral triangle?
An equilateral triangle can also be called a "regular" triangle
What is the perimeter of an equilateral triangle with an altitude of 15?
An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.
What kind of of triangle has 3 lines of symmetry?
An EQUILATERAL Triangle. Two lines of symmetry is ISOSCELES Triangle No lines of symmetyry is SCALENE Triangle.
What kind of shape is an equilateral triangle?
there is not one because a equilateral triangle is one triangle so the ansew is equilateral triangle
FORMULA- area of equilateral triangle?
Area of Equilateral Triangle A= S2 * (Root 3)/4, where A= Area of the triangle S= Side of the triangle.
Area of equilateral triangle?
To get the area of an equilateral triangle, you just need to know the length of one side. Multiply the length of one side by the square root of three and then divide the product by four, and you will get the area of the triangle.
What types of faces are found in an equilateral triangle?
One face that is the equilateral triangle.One face that is the equilateral triangle.One face that is the equilateral triangle.One face that is the equilateral triangle.
What is the formulae fo equalertal triangle?
The formula for the perimeter of an equilateral triangle is P = 3s, where P is the perimeter and s is the length of one side. The formula for the area of an equilateral triangle is A = (s^2 * sqrt(3)) / 4, where A is the area and s is the length of one side.
What is the length of the altitude of the equilateral triangle?
The altitude of an equilateral triangle is (√3)/2*a. where 'a' is the side of the triangle. It can be just find by giving a perpendicular to the base of the triangle, the base of the triangle become a/2 and one side is a. so by applying Pythagoras theorem we will get the desired formula.
Triangle with one axis of symmetry?
Any isosceles triangle which is not also an equilateral triangle. An equilateral triangle would have three.
How many degrees is one of the angles in an equilateral triangle?
there are 60 degrees in one of the angles in an equilateral triangle
What a equilateral triangle?
An equilateral triangle is one whose three sides are the same length.
Can a right triangle also be an isosceles triangle or can it be an equilateral triangle explain?
A right triangle can be an isosceles triangle, because the definition of an isosceles triangle is a triangle that has 2 sides equal to each other. A 45,45,90 degree triangle has 2 sides equal to each other, while the hypotenuse is different. It cannot be an equilateral triangle because of the formula a^2+b^2=c^2. With this formula, there is no possible way that: a, b, and c can all be equal to each other. To recap: It can be an isosceles triangle, but not an equilateral one.
Are equilateral triangle an acute triangle?
An equilateral triangle is one in which each angle is 60 degrees. It is, therefore, an acute triangle.
How can the distance formula help you determine if the triangle is scalene isosceles or equilateral?
Use the distance formula to calculate the distances between the three vertices. If they are all different, the triangle is scalene, if only two are the same, the triangle is isosceles, and if they are all the same, the triangle is equilateral.
