How do you solve an equilateral triangle?

How do you solve an equilateral triangle?

Formulas and Calculations for a equilateral triangle:

1. Perimeter of Equilateral Triangle: P = 3a.
2. Semiperimeter of Equilateral Triangle: s = 3a / 2.
3. Area of Equilateral Triangle: K = (1/4) * √3 * a.
4. Altitude of Equilateral Triangle h = (1/2) * √3 * a.
5. Angles of Equilateral Triangle: A = B = C = 60°

What is a formula of equilateral triangle?

An equilateral triangle is the one in which all three sides are equal. It is a special case of the isosceles triangle where the third side is also equal. In an equilateral triangle ABC, AB = BC = CA.

Are all sides of an equilateral triangle equal?

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

What is the value of equilateral triangle?

The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle. An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.

What are the sides of an equilateral triangle?

In geometry, an equilateral triangle is a triangle that has all its sides equal in length. For example, a triangle with its three sides equal to 5cm is an equilateral triangle. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure.

How do you find the sides of an equilateral triangle?

Formulas and Calculations for an Equilateral Triangle: Area of Equilateral Triangle Formula: K = (1/4) * √3 * a. The altitude of Equilateral Triangle Formula: h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60 degrees. Sides of Equilateral Triangle: a equals b equals c.

What’s true about an equilateral triangle?

Explanation: An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees. The side with length will be the height (opposite the 60 degree angle).

Does Pythagorean theorem Work on equilateral triangle?

An equilateral triangle has three equal sides, as can be deduced from its name. With a base of and a hypotenuse of , we can easily solve for the height (the third side) with the Pythagorean Theorem. This problem can also be solved using trigonometric functions or even revisiting 30-60-90 triangle rules.

What is Pythagoras theorem in equilateral triangle?

You can use the Pythagorean theorem and height of the right triangles within the equilateral to determine the missing side lengths of an equilateral triangle. Then, you can use the formula A = √3/4 (a²) to determine the area of an equilateral triangle.

How do you work out the height of an equilateral triangle?

and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2 , where a is a side of the triangle.