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A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x plus 1. What could be the length of the other side?
Wiki User
∙ 11y ago
The longest side can have a length of 6, 8, or 10 units. It cannot have an odd length.
If the third side has to be the longest, the two shorter sides can only have integer lengths of
1 and 2
2 and 3
3 and 4
Wiki User
∙ 11y ago
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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
True or false A triangle with sides of lengths 10 24 and 27 is a right triangle?
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right triangle.
He length of the longer leg of a right triangle is 3ft more than three times the length of the shorter leg. The length of the hypotenuse is 4ft more than three times the length of the shorter leg. Fin?
The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.
How do you find the side lengths of a 20-70-90 triangle?
There are an infinite number of different sets of lengths that will do it. You have to start by choosing the length of one side, and when you do that, here's how to find the others: Shorter leg = (longer leg) x 0.364 Shorter leg = (hypotenuse) x 0.342 Longer leg = (shorter leg) x 2.747 Longer leg = (hypotenuse) x 0.94 Hypotenuse = (shorter leg) / 0.342 Hypotenuse = (longer leg) / 0.94
How is the lengtht of the hypotenuse in a 30-60-90 triangle related to the length of the shorter leg?
In a 30-60-90 triangle, the hypotenuse is double the length of the shorter leg.
What set of lengths can be used to make a triangle?
There are many lengths that can be used to make triangles. Basically take the longest side, add the two shorter sides together, it can be a triangle as long as the 2 shorter sides added together are longer than the longest side.
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.
Can a triangle be formed with side lengths of 2 3 and 6?
No. With the given side lengths the sum of the two shorter sides do not exceed the length of the longest side and would not meet to form a triangle
Is 56 ft 65 ft 16 ft a triangle?
Yes, the three given lengths will form a triangle. Three lengths can make a triangle if, and only if, the sum of the two shorter lengths is greater than the longest length. The two shorter lengths are 56 ft and 16 ft with a sum of 56 ft + 16 ft = 72 ft 72 ft is greater than 65 ft so 56 ft, 65 ft and 16 ft will make a triangle.
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.
Can a triangle have side lengths 1 1 and 2.5?
No. Each side must be shorter than the sum of the other two sides.
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 could be the third side of a triangle with side lengths of 4 cm and 6 cm?
The sum of the 2 shorter sides must be greater than the longest side to form a triangle
A triangle has sides of lengths 6 2 and 7 is it a right triangle?
No. For a right angle triangle, the sum of the squares of the shorter sides equals the square of the longer side (the hypotenuse): 22 + 62 = 40 72 = 49
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
True or false A triangle with sides of lengths 10 24 and 27 is a right triangle?
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right 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.
