Hz
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
The perimeter is the sum of all of the sides of the triangle. If the shorter leg is x, the longer leg is 3x. The hypotenuse is then the square root of x^2 + 3x^2, or 2x. Then the perimeter is x + 3x + 2x, simplified, f(x) = 6x.
Suppose the side of the square is x cm.Then its perimeter is 4x cm.The perimeter of the square is 3 cm more than that of the triangleso the perimeter of the triangle is 4x - 3 cm.Also, if the side of the square is x cm, the side of the triangle must be x + 112 cm.Then its perimeter must be 3*(x + 112) = 3x = 336 cm.Equating the two expressions for the perimeter of the triangle,4x - 3 = 3x + 336therefore x = 339 cm.The square has sides of 339 cm and a perimeter of 1356 cm.The triangle has sides of 451 cm and a perimeter of 1353 cm.
2.3
No shorter [1 inch = 2.54 cm]
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
a rectangle as a longer side because there's 48 inches for a rectangle but there's only 45 inches for a triangle. a rectangle as a longer side because there's 48 inches for a rectangle but there's only 45 inches for a triangle.
5,12,13
A golden triangle is an isosceles triangle such that bisecting one of the equal angles produces a new triangle that is similar to the original. It can be shown that the original triangle must be 72-72-36 degrees. Using trigonometry, or the similarity, it can be shown that the long sides were (1+Φ) times the shorter, where Φ is the golden ratio. So with the shorter side being 7 inches, the longer were 18.3 inches, approx.
shorter side = 10 longer side = 19
13, 12,5
The perimeter is the sum of all of the sides of the triangle. If the shorter leg is x, the longer leg is 3x. The hypotenuse is then the square root of x^2 + 3x^2, or 2x. Then the perimeter is x + 3x + 2x, simplified, f(x) = 6x.
Length of longer leg = 9.4 tan 60 = 16.28 feet Length of hypotenuse = 9.4 ÷ cos 60 = 18.8 feet Perimeter of triangle = 9.4 + 16.28 + 18.8 = 44.48 feet
3 feet = 36 inches. Over to you...
x+4+x+2+x = 24 3x+6 = 24 3x = 24-6 3x = 18 x = 6 longest side = 10 inches
the perimeter of a triangle is 86 inches. the largest side is four inches less than twice the smallest side. the third side is 10 inches longer than the smallest side. what is the length of each side?
The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.