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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.
What is the height of an equilateral triangle with side length 6?
Answer: The height of the given equilateral triangle is 3√3 cm.
What is the height of an equilateral triangle with sides that are 12 cm long?
Hence, the height of the given triangle is 6√3 cm.
What is the height of a 9cm equilateral triangle?
The hypotenuse (9 cm) in such a triangle is always 2/sqrt3 times longer than the height, so multiply your hypotenuse (9 cm) by squrt3/2 to get your height of 9(sqrt3/2) = 4.5 squrt3 = 7.79 cm.
What is the height of an equilateral triangle with a side length of 8 in?
Find the height of an equilateral triangle with side lengths of 8 cm. 8/2 = 4 4√3 = 6.928 cm.
What is the height of the equilateral triangle whose side is 10 cm?
you get x^2 + 5^2 = 10^2 which becomes x^2 + 25 = 100 which becomes x^2 = 75 which becomes x = sqrt(75). that’s the length of your altitude.
What is the height of an equilateral triangle with side lengths of 10?
Originally Answered: The length of a side of an equilateral triangle ???? is 10 cm. Find the height of the triangle ????.? The height of the triangle is 8.66 cm.
Is the height of an equilateral triangle measures 9 cm then find its area?
= 46.76 cm² (correct to 2 decimal places.)Apr 23, 2018.
What is the length of each side of an equilateral triangle having an area of 9 <UNK> 3 cm 2?
The length of each side of an equilateral triangle having an area of 9 sqrt3 cm^(2) is. Hence, the length of an equilateral triangle is 6cm.
What is the length of side and perimeter of an equilateral triangle whose height is 9 cm?
If the side of an equilateral triangle is 9 cm, the perimeter can be calculated with the help of the formula, perimeter = 3a, where a = side length. Let us substitute the value of ‘a’ in the formula. P = 3a = 3 × 9 = 27 cm. Therefore, the perimeter of the equilateral triangle with side 9 cm is 27 cm.
What is the length of an equilateral triangle of side 8 cm?
Let us consider an equilateral triangle ABC with sides 8 cm each. Let AD be the altitude of the triangle. AD is perpendicular to BC and D is the midpoint of BC. So, BD = 8/2 = 4 cm.
What is the height of an equilateral triangle having side 2a?
∴ The height of the equilateral triangle is a √3 units.
What is the height of a triangle?
The height of a triangle is the distance from the base to the highest point, and in a right triangle that will be found by the side adjoining the base at a right angle.
What is the altitude of an equilateral triangle of side 4 cm?
Side of triangle is 4 cm in length. Hence, length of altitude of the triangle is 2√3 cm.
What is the length of altitude of an equilateral triangle with side 2 √ 3 cm?
Answer: The answer is 3 cm.
What is the length of altitude of an equilateral triangle of side 5 cm?
Answer: 15/2cm or 7.5cm.
How do you find the height in a triangle?
Triangle height, also referred to as its altitude, can be solved using a simple formula using the length of the base and the area. h = 2Tb. s = p2. h = abc. h a = √(a² – (0.5 × b)²) × ba. h = a × √32.
Is the height of an equilateral triangle the same as the sides?
Equilateral triangles have sides of equal length, with angles of 60°. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles. Now, the side of the original equilateral triangle (lets call it “a”) is the hypotenuse of the 30-60-90 triangle.
How do you find the height of a triangle calculator?
Given triangle area area = b * h / 2 , where b is a base, h – height. so h = 2 * area / b.
How do you find the height of a triangle if you know the sides?
The Pythagorean Theorem states that for any right triangle with sides of length a and b, and hypotenuse of length c: a2 + b2 = c2. We can use this theorem to find the height of our equilateral triangle! Break the equilateral triangle in half, and assign values to variables a, b, and c.
How do you find the height of a 60 60 60 triangle?
Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.
Is the height of an equilateral triangle is 8 cm calculate its area?
Area of an equilateral triangle=12bh , where: b = base. h = height.
What is the formula of isosceles triangle?
The area of an Isosceles Triangle is defined as the amount of space occupied by the Isosceles Triangle in the two-dimensional area. To calculate the area of an equilateral Triangle, the following formula is used: A = ½ × b × h.
How do you find the length of an equilateral triangle with the area?
If the area of an equilateral triangle is known, we put the given value in the following formula and solve for the length of the side: Area of equilateral triangle = (√3/4)a2 where a is the length of the side of the equilateral triangle.
What is the length 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 find the length of a side of an equilateral triangle?
Correct answer: 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: Use the Pythagorean Theorem to find the value of or the side length: Multiply the side length you found by 3 to get the perimeter:.
What is the perimeter of equilateral triangle whose height is 3.46 cm?
Hence, perimeter of an equilateral triangle is 6 cm.
What is the height of an equilateral triangle with a perimeter of 30?
We can use the Pythagorean Theorem or the properties of 30˚−60˚−90˚ triangles to determine that the height of the triangle is √32s . In your case, the perimeter of the triangle is 30 , so the length of each side is 10 , since all 3 sides are congruent.
What is the length of side of an equilateral triangle of altitude 4 √ 3 cm a 4 cm B 6 cm C 4 √ 3 cm D 8 cm?
Hence, the length of each side of an equilateral triangle is 4 cm.
