Area of equilateral triangle = (b x h)/2 = 9√ 3 sq in
For an equilateral triangle, b2 = h2 + (b/2)2 = h2 + b2/4
h2 = 3b2/4 : h = (b/2)√ 3
Substituting for h in the Area formula
[b x (b/2)√ 3]/2 = 9√ 3 : b2/4 = 9 : b2 = 36 : b = 6
Therefore the perimeter measures 3 x 6 = 18"
Area = 0.5*7.52*sin(60 degrees) = 24.357 square cm rounded to 3 dp.
The area of a square whose perimeter is 36 inches is: 81 square inches.
It has a perimeter of 24 units and an area of 27.713 square units rounded to 3 dp
A circle, square, oval, hemisphere, Equilateral triangle, Isosceles Triangle
Area of a square = s2 Perimeter of a square = 4s s = sqrt of the area = sqrt(3 inches2) Perimeter = 4sqrt(3 inches2) = 6.9282 inches
3.897 square inches.
Area of equilateral triangle: 0.5*8*8*sin(60 degrees) = 27.7 square inches rounded
Area of equilateral triangle: 0.5*7*7*sin(60 degrees) = 21.2 square inches
Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places
Let x be the side of the triangle. Thus 4(x-5) is the perimeter of the square.Balance by the perimeter relation,3x = 7+4(x-5)Solve for x,x = 13 inches
XXVII = 27 An equilateral triangle with a perimeter of 27 inches has three equal sides of 9 inches. Area of a triangle = base times its perpendicular height divided by 2. An equilateral triangle can be considered as being two right angled triangles joined together. So by halving the length of the base we can find its height by using Pythagoras' Theorem: hypotenuse2 - base2 = height2 92-4.52 = 60.75 square inches. Square root of 60.75 = 7.794228634 inches. Area = 9x7.794228634/2 = 35.07402885 square inches. Therefore area of an equilateral triangle with a perimeter of 27 inches is 35.074 square inches correct to 3 decimal places. Answered by David Gambell, Merseyside, England.
The perimeter is 6 cm.
Area of a triangle = 1/2*base*height Use Pythagoras to find the height which is 7.794228634 inches Area = 1/2*9*7.794228634 = 35.07402885 square inches Answer: 35 square inches to the nearest square inch.
15.588 square inches.
It is the perimeter of a triangle times the length of the prism (in square units).
27.713 square inches.
Area of equilateral triangle: 0.5*12*12*sin(60 degrees) = 187 square cm