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What are the requirements for the side lenghts of a triangle?
The length of each side is longer than the sum of the lengths of the other two sides.
The hypotenuse of a right triangle is 26 feet longone leg of the triangle is 14 feet longer than the other leg find the lenghts of the legs of the triangle?
This is merely a doubling of the 5-12-13 triangle. The sides are 10 and 24 ft.
The perimeter of an equilateral triangle is 45 inches.A rectangle whose width is 1-3 its length has a perimeter of 48 inches.Which figure has the longest side and why?
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.
Does 3.1 4.3 and10.9 make a triangle?
No.To make a triangle the sum of the two shorter sides mustbe longer than the third. With 3.1, 4.3, 10.9 the two shorter sides are 3.1 and 4.3 which have a length sum of 3.1 + 4.3 = 7.4 which is not longer than 10.9, so 3.1, 4.3 and 10.9 cannot form a triangle.
What is the possible value if perimeter of a triangle is 42 cm and it's largest side is a fundamental number?
I am not sure what you mean by a "fundamental" number (I've never heard of that term being used with reference to the numbers themselves); I guess you mean an "integer". For a triangle to exist the shorter two sides must be longer than the longest side. Thus there is an upper limit to the length of the longest side of a triangle. For a given perimeter, the longest side must be less than half the perimeter. For a perimeter of 42cm this means that the longest side is less than 42 cm ÷ 2 = 21 cm. If we focus on the longest side of a triangle, as it becomes shorter, one or both of the other two sides must increase in length, they can equal but never be longer than this longest side. Thus there is also a lower limit below which the longest side cannot be; this is when all three sides are equal and the triangle is an equilateral triangle. For a perimeter of 42cm the longest side is greater than or equal to 42 cm ÷ 3 = 14 cm So with a perimeter of 42 cm we have: 14 cm ≤ longest side < 21 cm Which means for an integer length, the longest side can be 14 cm, 15 cm, 16 cm, 17 cm, 18 cm, 19 cm or 20 cm.
A right triangle has one leg three times as long as the other Find a function that models its perimeter P in terms of the length x of the shorter leg?
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.
What are the requirements for the side lenghts of a triangle?
The length of each side is longer than the sum of the lengths of the other two sides.
The shorter leg of a 30 -60 -90 triangle is 9.4 feet long Find the perimeter?
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
Does waves with longer wave lengths have a higher frequency that waves with shorter wave lenghts?
No, waves with longer wavelengths have lower frequencies and waves with shorter wavelengths have higher frequencies. Frequency is inversely proportional to wavelength in a wave.
What is the perimeter of a triangle that has a area of 6.5 cm?
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.
First side of triangle is 2 inches shorter than the second the third side is 5 inches longer than the second if the perimeter is 33 inches how long is each side?
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A square has a perimeter that is 3 cm longer than the perimeter of an equilateral triangle the side of the triangle is 112 cm longer than that of the square?
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.
The hypotenuse of a right triangle is 26 feet longone leg of the triangle is 14 feet longer than the other leg find the lenghts of the legs of the triangle?
This is merely a doubling of the 5-12-13 triangle. The sides are 10 and 24 ft.
What triangle has two equal sides and one longer one?
An isosceles triangle. It is an isosceles triangle even if the third side is shorter.
The perimeter of an equilateral triangle is 7 inches more than the perimeter of a square and the side of the triangle is 5 inches longer than the side of the square find the side of the triangle?
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 shorter side of a rectangle has a length of x inches the longer side has a lenght of 2x-1 in If the perimeter is 58 in find the length of the sides?
shorter side = 10 longer side = 19
What is true about the lengths of the three sides of a triangle?
For a triangle to exist, the sum of the shorter two sides must be longer than the third side.
