What is a formula of equilateral triangle?

What is a formula of equilateral triangle?

In an equilateral triangle, all the sides are equal and all the internal angles are 60°. So, an equilateral triangle’s area can be calculated if the length of one side is known. The formula to calculate the area of an equilateral triangle is given as, Area of an equilateral triangle = (√3/4) × a2 square units.

How do you find the third side of an equilateral triangle?

Correct answer:

1. The height splits the triangle’s base in half and creates two right triangles. Create expressions for the length of the two unknown sides in this new triangle:
2. Use the Pythagorean Theorem to find the value of or the side length:
3. Multiply the side length you found by 3 to get the perimeter:

Are all sides of an equilateral triangle equal?

Equilateral triangles have sides of all equal length and angles of 60°.

How do you find the side length of an equilateral triangle?

Since the equilateral triangle shares a side with the square, each of the five sides that are outlined have the same length. Recall that the height of an equilateral triangle splits the triangle into congruent triangles. We can then use the height to find the length of the side of the triangle.

What is the formula of equilateral triangle height?

Formula to calculate height of an equilateral triangle is given as: Height of an equilateral triangle, h = (√3/2)a, where a is the side of the equilateral triangle.

How do you find the Semiperimeter of an equilateral triangle?

Semiperimeter of Equilateral Triangle Formula: s = 3a/2.

How do you find the length of a side of an equilateral triangle?

Because an equilateral triangle has three sides that are the same length, divide the given perimeter by 3 to find the length of each side.

What is the complement of 60?

30°
The complementary angle of 60° is 30°.

What are the rules of an equilateral triangle?

Rules for Isosceles and Equilateral Triangles. The given triangle is an equilateral, it is said to be equiangular. The two sides of the triangle are said to be congruent, and then the two sides of the triangles are the base angles of an isosceles triangles. The triangle is said to be an equiangular, it is represented as equilateral.

How do you solve X in a triangle?

Solving for X in a Right Triangle. Add 90 degrees for the right angle to the degree measurement of the other marked angle. This measurement will be found inside the triangle at the angle that is not denoted by the X variable. Subtract the sum of the two angles from 180 degrees.

How do you calculate the missing side of a triangle?

Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2 +b2 = c2, which is known as the Pythagorean Theorem. The theorem states that the hypotenuse of a right triangle can be easily calculated from the lengths of the sides.

How do you solve angles of triangles?

To solve an AAS triangle use the three angles add to 180° to find the other angle then The Law of Sines to find each of the other two sides.