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

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:

How do you find the perpendicular height of an equilateral triangle?

Starts here2:38What is the Height of an Equilateral Triangle? – YouTubeYouTubeStart of suggested clipEnd of suggested clip57 second suggested clip3 which means that the height with equal root 3 times root 3 so we would just get 3. Over 2 and it’dMore3 which means that the height with equal root 3 times root 3 so we would just get 3. Over 2 and it’d be 3 halves. So this is the formula for the height of an equilateral triangle.

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

An equilateral triangle has a perimeter of units. What is the length of each side? Explanation: 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 height of equilateral triangle with side a?

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

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

Starts here2:38Finding the length of a side of a equilateral triangle given – YouTubeYouTube

What is the height of equilateral triangle whose side is 5 root 3 cm?

Q6. Area of the base of a cone is 1386 cm2 . Height of the cone is 54 cm.

How to find the length of side of an equilateral triangle?

Step 1: Find the side of an equilateral triangle using perimeter. 3a = 12 a = 4 Thus, the length of side is 4 cm. Step 2: Find the area of an equilateral triangle using formula.

How do you calculate the area of an equilateral triangle?

Formulas and Calculations for a equilateral triangle: Perimeter of Equilateral Triangle: P = 3a Semiperimeter of Equilateral Triangle: s = 3a / 2 Area of Equilateral Triangle: K = (1/4) * √3 * a 2 Altitude of Equilateral Triangle h = (1/2) * √3 * a Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c

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.

What are the conditions for a triangle to be equilateral?

A triangle is equilateral if and only if any three of the smaller triangles have either the same perimeter or the same inradius. The area of an equilateral triangle is basically the amount of space occupied by an equilateral triangle.