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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.

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Q: 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?
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What is the length of a triangle if its perimeter is 24 cm?

If a triangle with a perimeter of 24 cm is an equilateral triangle, then each of its 3 sides will be 8 cm in length


A right triangle has one leg four times as long as the other Find a function that models its perimeter P in terms of the length x of the shorter leg?

Legs are 'x' and '4x'.Hypotenuse is sqrt(17x2) = x sqrt(17)Perimeter = x [ 5 + sqrt(17) ]


How do you find the perimeter of a triangle when all three sides are given?

If you have the length of each of the three sides of a triangle, you can find the perimeter of (the distance around) the triangle by adding the length of the sides. Their sum will be the perimeter of this geometric shape.


How do you find the length of a triangle when perimeter is given?

If the triangle is equilateral, you simply divide the perimeter by three to find the length of each side. If the triangle is not equilateral, you will need more information to determine the length of each side.


The length of the sides of a triangle are consecutive even numbers find the length of the longest side if it is 22 units shorter than the perimeter?

Let the length of the longest side of the triangle be x units.Since the lengths of the sides of the triangle are consecutive even numbers, which differ by 2, the perimeter of the triangle equals to (x - 4) + (x - 2) + x = 3x - 6.Since the length of the longest side is 22 units shorter than the perimeter, the perimeter of the triangle also equals to x + 22. So that3x - 6 = x + 22 (subtract x and add 6 to both sides)3x - x + 6 - 6 = x - x + 6 + 222x = 28 (divide both sides by 2)x = 14Thus the longest side has a length of 14 units.

Related questions

What is the formula of a triangle in perimeter?

Perimeter of a triangle = (length of side #1) + (length of side #2) + (length of side #3)


What is the length of a triangle if its perimeter is 24 cm?

If a triangle with a perimeter of 24 cm is an equilateral triangle, then each of its 3 sides will be 8 cm in length


What is formula of finding the perimeter of a triangle?

Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)


The perimeter of a triangle is 32 feet and one side is 3 feet shorter what is the maximum length of each side of the triangular area?

12


A right triangle has one leg four times as long as the other Find a function that models its perimeter P in terms of the length x of the shorter leg?

Legs are 'x' and '4x'.Hypotenuse is sqrt(17x2) = x sqrt(17)Perimeter = x [ 5 + sqrt(17) ]


How do you find the perimeter of a triangle when all three sides are given?

If you have the length of each of the three sides of a triangle, you can find the perimeter of (the distance around) the triangle by adding the length of the sides. Their sum will be the perimeter of this geometric shape.


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


How do you find the length of a triangle when perimeter is given?

If the triangle is equilateral, you simply divide the perimeter by three to find the length of each side. If the triangle is not equilateral, you will need more information to determine the length of each side.


The length of the sides of a triangle are consecutive even numbers find the length of the longest side if it is 22 units shorter than the perimeter?

Let the length of the longest side of the triangle be x units.Since the lengths of the sides of the triangle are consecutive even numbers, which differ by 2, the perimeter of the triangle equals to (x - 4) + (x - 2) + x = 3x - 6.Since the length of the longest side is 22 units shorter than the perimeter, the perimeter of the triangle also equals to x + 22. So that3x - 6 = x + 22 (subtract x and add 6 to both sides)3x - x + 6 - 6 = x - x + 6 + 222x = 28 (divide both sides by 2)x = 14Thus the longest side has a length of 14 units.


Perimeter of a triangle with base length and height length known?

Is indeterminate.


Find the perimeter of the triangle with sides of length x 5x and 6x-3?

Find the perimeter of the triangle with sides of length x, 5x and 6-3x?


How do you find Ares and perimeter on a tringle?

-- Area of a triangle = 1/2 of (length of the base times height) -- Perimeter of a triangle = (length of one side) + (length of another side) + (length of last side)