# The area of an equilateral triangle with side 2 √3 cm is

Nov 22, 2015 · Consider an equilateral triangle #Delta ABC#: The area of this triangle is #S=1/2*b*h# All its sides are given and equal to #8#: #a=b=c=8#, its altitude #h# is not given, but can be calculated. Let the base of the altitude from vertex #B# to side #AC# be point #P#. Consider two right triangles #Delta ABP# and #Delta CBP#. Find the height of an equilateral triangle with side lengths of 8 cm. 8/2 = 4 4√3 = 6.928 cm. When do you use decimals and when do you use the answer with a square root. A triangle with side a: 7, side b: 7, and side c: 7 cm has an area of 21.22 square cm. For equilateral triangles h = ha = hb = hc. If you have any 1 known you can find the other 4 unknowns. So if you know the length of a side = a, or the perimeter = P, or the semiperimeter = s, or the area = K, or the altitude = h , you can calculate the other values. A triangle with side a: 7, side b: 7, and side c: 7 cm has an area of 21.22 square cm. May 02, 2012 · since Perimeter = 24 cm , side of triangle = 24/3 = 8 cm. since equilateral triangle, all sides are 8 cm length. Area =16√3 cm^2. area = 1/2 * b* h 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 = √3s 2 /4. Apr 06, 2019 · When the perimeter of an equilateral triangle is doubled, the result is 24. The length of a side of the original triangle is A. 4 B. 6 C. 8 D. 12 . maths. c) An equilateral triangle of side 3 cm each is given, How many triangles can be made from this equilateral triangle of 1cm? Explanation: . An equilateral triangle can be broken down into 2 30-60-90 right triangles (see image). The length of a side (the base) is 2x while the length of the height is . Oct 06,2020 - What is the area of an equilateral triangle of side 16 cm?a)48√3 cm2b)128√3 cm2c)9.6√3 cm2d)64√3 cm2Correct answer is option 'D'. Can you explain this answer? | EduRev Quant Question is disucussed on EduRev Study Group by 199 Quant Students. Jun 28, 2020 · The area of an equilateral triangle whose three sides are 1 cm each: A = angle A. a = side a. B = angle B. b = side b. C = angle C. c = side c. A = B = C = 60° a = b = c. K = area = 0.433013 cm^2. P = perimeter = 3 cm. s = semiperimeter = 1.5 cm. h = altitude = 0.866025 cm Question: Find the surface area of an equilateral triangle pyramid. The side of the equilateral base is 7 m, and the height of the lateral triangle is 12 m. For equilateral triangles h = ha = hb = hc. If you have any 1 known you can find the other 4 unknowns. So if you know the length of a side = a, or the perimeter = P, or the semiperimeter = s, or the area = K, or the altitude = h , you can calculate the other values. Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. View Answer The vertex of a right angled triangle lies on the straight line 2 x + y − 1 0 = 0 and the two of vertices, at points ( 2 , − 3 ) and ( 4 , 1 ) , then the area ... Nov 08, 2019 · Determine the area of a Equilateral triangle if the height 3 cm. ----- If I call my height 3 and my base x/2 I should be able to solve it withPythagorean theorem (x/2)^2+3^3=x^2 But this is wrong answer, I need to get the answer 5,1961cm^^2=5cm^2 Jul 22, 2020 · Hence, its area will be equal to the sum of area of the two triangles. Hence, we can determine the area of the two triangles using Heron’s formula. 10) The sides of a triangle are in the ratio of 3 : 5 : 7 and its perimeter is 300 cm. Given, side of an equilateral triangle is 4√3 cm. Area of an equilateral triangle = √3/4 (Side) 2 = √3/4 (4√3) 2 = (√3/4) x 16 x 3 = 3√3 x 4 = 12 x 1.732 = 20.784 cm 2 Area of equilateral triangle with each side $a$ is given as $A=\frac{1}{2}(\text{base})\cdot (\text{altitude})$ [math]=\frac{1}{2}\cdot a\cdot ... Dec 20, 2019 · Area of an equilateral triangle is 4 3 sq.cm. Then the length of the diagonal of a square whose side is equal to the height of the equilateral triangle, (in cm) is = 16 √3 cm 2. Question 3: Find the area of an equilateral triangle whose side is 7 cm. Solution: Given, Side of the equilateral triangle = a = 7 cm. Area of an equilateral triangle = √3 a 2 / 4 = (√3/4) × 7 2 cm 2 = (√3/4) × 49 cm 2 = 21.21762 cm 2. Question 4: Find the area of an equilateral triangle whose side is 28 cm. Solution: Given, Two sides of a triangle are 6 c m and 8 c m, if the height of the triangle corresponding to 6 cm side is 4 cm; find the area of the triangle. View Answer A man goes 1 5 meters due west and then 8 meters due north. Find the height of an equilateral triangle with side lengths of 8 cm. 8/2 = 4 4√3 = 6.928 cm. When do you use decimals and when do you use the answer with a square root. Jun 28, 2020 · The area of an equilateral triangle whose three sides are 1 cm each: A = angle A. a = side a. B = angle B. b = side b. C = angle C. c = side c. A = B = C = 60° a = b = c. K = area = 0.433013 cm^2. P = perimeter = 3 cm. s = semiperimeter = 1.5 cm. h = altitude = 0.866025 cm Area of equilateral triangle can be found using the formula given below. Area of Equilateral Triangle = (√3/4)a 2 sq. units. where a is the length of each side of the triangle. Deriving the Formula to Find the Area of Equilateral Triangle. Take an equilateral triangle of the side “a” units. Given, side of an equilateral triangle is 4√3 cm. Area of an equilateral triangle = √3/4 (Side) 2 = √3/4 (4√3) 2 = (√3/4) x 16 x 3 = 3√3 x 4 = 12 x 1.732 = 20.784 cm 2 Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. View Answer The vertex of a right angled triangle lies on the straight line 2 x + y − 1 0 = 0 and the two of vertices, at points ( 2 , − 3 ) and ( 4 , 1 ) , then the area ... What is the area of an equilateral triangle of perimeter $90 cm^2$. example 2: ex 2: What is the perimeter of an equilateral triangle if its height is $\frac{20}{3} cm^2$? A triangle with side a: 7, side b: 7, and side c: 7 cm has an area of 21.22 square cm. For equilateral triangles h = ha = hb = hc. If you have any 1 known you can find the other 4 unknowns. So if you know the length of a side = a, or the perimeter = P, or the semiperimeter = s, or the area = K, or the altitude = h , you can calculate the other values. Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. View Answer The vertex of a right angled triangle lies on the straight line 2 x + y − 1 0 = 0 and the two of vertices, at points ( 2 , − 3 ) and ( 4 , 1 ) , then the area ...