Table of Contents
- 1 How do you find the area of an equilateral triangle?
- 2 How do you find the area of an equilateral triangle using the Pythagorean Theorem?
- 3 How do you find the area of an equilateral triangle inscribed in a circle?
- 4 What is the area of an equilateral triangle whose inscribed circle has radius?
- 5 What is the equilateral triangle of side A?
- 6 What is the area of the equilateral triangle ABC?
- 7 What is the radius of the incircle of an equilateral triangle?
- 8 What is the perimeter of an equilateral triangle whose area is 12 cm?
How do you find the area of an equilateral triangle?
To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.
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.
How do you find the area of an equilateral triangle inscribed in a circle?
The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa2/12.
What will be the area of an equilateral triangle whose each side is of a unit?
Area of an equilateral triangle of side ‘a’ units can be calculated by using the formula: A. √s2(s−a)2.
What is inscribed in triangle?
Summary. A circle is inscribed in the triangle if the triangle’s three sides are all tangents to a circle. Since the triangle’s three sides are all tangents to the inscribed circle, the distances from the circle’s center to the three sides are all equal to the circle’s radius.
What is the area of an equilateral triangle whose inscribed circle has radius?
So, the area of the inscribed equilateral triangle is equal to three times the area of the equilateral triangle whose each side is equal to the radius of the circle.
What is the equilateral triangle of side A?
An equilateral triangle is a triangle whose all three sides are having the same length. This is the only regular polygon with three sides….Equilateral Triangle Formula.
| A | Area of the equilateral triangle |
|---|---|
| p | The perimeter of an Equilateral Triangle |
| s | Semi Perimeter of an Equilateral Triangle |
| a | Length of one side |
| h | Height of triangle |
What is the area of the equilateral triangle ABC?
17320.5 cm²
The area of an equilateral triangle ABC is 17320.5 cm² . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28).
What is the formula for the area of an equilateral triangle?
The formula for the area of an equilateral triangle is given as: Area of Equilateral Triangle (A) = (√3/4)a2 Where a = length of sides Learn more about isosceles triangles, equilateral triangles and scalene triangles here.
How do you find the height of an equilateral triangle?
Equilateral triangle area and height. The formula for a regular triangle area is equal to squared side times square root of 3 divided by 4: area = (a² * √3)/ 4. and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2, where a is a side of the triangle.
What is the radius of the incircle of an equilateral triangle?
Let the side of an equilateral triangle = a. Then, the area of an equilateral triangle = 3 4 × a 2. Therefore, the radius of the incircle of an equilateral triangle is given by r = 2 × A r e a o f a n e q u i l a t e r a l t r i a n g l e P e r i m e t e r o f a n e q u i l a t e r a l t r i a n g l e
What is the perimeter of an equilateral triangle whose area is 12 cm?
The perimeter of an equilateral triangle is 3a. Question 1: Find the area of an equilateral triangle whose perimeter is 12 cm. As per formula: Perimeter of the equilateral triangle = 3a, where “a” is the side of the equilateral triangle. Step 1: Find the side of an equilateral triangle using perimeter. Thus, the length of side is 4 cm.