Table of Contents
- 1 How do you express the area of an equilateral triangle as a function?
- 2 How do you express the area of an equilateral triangle as a function of the length of a side?
- 3 What is a formula of area of triangle?
- 4 What is the equilateral triangle theorem?
- 5 What is the formula for the altitude of an equilateral triangle?
- 6 How many sides does an equilateral triangle have?
How do you express the area of an equilateral triangle as a function?
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.
How do you express the area of an equilateral triangle as a function of the length of a side?
Summary: The area of an equilateral triangle as a function of the length of a side x is (√3/4)x2 units.
How do you find the area of an equilateral triangle using the Pythagorean Theorem?
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.
Is an equilateral triangle a function?
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°….
| Equilateral triangle | |
|---|---|
| Area | |
| Internal angle (degrees) | 60° |
What is a formula of area of triangle?
So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
What is the equilateral triangle theorem?
Napoleon’s theorem states that if three equilateral triangles are drawn on the legs of any triangle (either all drawn inwards or outwards) and the centers of these triangles are connected, the result is another equilateral triangle.
What is the length of each side of an equilateral triangle having an area of?
Area = 9√3 cm sq. Area of equilateral triangle = √3 / 4 × side sq. Therefore, length of each side = a^2 = 36 cm.
How do you calculate the height of an equilateral triangle?
The formula for Area of an Equilateral Triangle. 1/2 base * height or 1/2 b * h. Find the area of a equilateral triangle with a side of 8 units. Step 1. Use the height formula: (side/2 * √3) to calculate the height.
What is the formula for the altitude of an equilateral triangle?
An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. The altitude shown h is hb or, the altitude of b. For equilateral triangles h = ha = hb = hc.
How many sides does an equilateral triangle have?
In geometry, an equilateral triangle is a triangle in which all three sides are equal. In the familiar Euclidean geometry , an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
How do you calculate the altitude of a triangle?
For the Scalene triangle, the height can be calculated using the below formula if the lengths of all the three sides are given. h = 2*Area/base. with a, b, c being the sides and s being (a+b+c)/2. This tutorial helps you to understand the different types of triangles and to calculate the altitude.