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The side lengths in a triangle are three consecutive whole numbers the perimeter is 24 what is the length of each side?
Wiki User
∙ 12y ago
Consecutive whole numbers are numbers that go in order
For example: 5, 6, 7 or 10, 11, 12.
Since we don't know what number we're starting at, we call it X.
In our example, let's say x = 5. The next number that is consecutive to 5 is 6.
All we did was add 1 to it, right?
So we can say if we start at X for our first number, the next number is X + 1. Similarly, the number after that is X +1 +1, or X +2.
So far, our 3 numbers are: X, X + 1, X + 2.
Now onto the actual problem.
We know the perimeter of the triangle is 24.
Perimeter is the distance around the outside of the triangle. All we do is add up the sides!
So we can say the perimeter, which is 24...
24 = X + X + 1 + X + 2.
All I'm doing here is adding up each side, and setting it equal to the perimeter. Now we simplify.
24 = 3X +3
I can factor out a 3 on the right side.
24 = 3(X + 1) and then divide it out.
8 = X + 1 and then solve for x.
X + 1 = 8 -> X = 7.
So if X was our starting number.
X = 7
X + 1 = 8
X + 2 = 9
The sides of the triangle are 7, 8 and 9.
To check, see if their sum = 24.
7 + 8 + 9 = 24
15 + 9 = 24
24 = 24 (check)
Wiki User
∙ 12y ago
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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.
Which set of numbers represent the side lengths of an obtuse triangle?
Those ones, there!
If Twenty nine is the shortest leg of a right triangle whose other leg and hypotenuse are consecutive whole numbers What is the sum of the lengths of the other two sides?
solve for 292 +x2= (x+1)2 (a2 +b2= c2)
How do you find the perimeter of a scalene triangle?
-- Find the length of one side. -- Find the length of another side. -- Find the length of the remaining side. -- Add the three numbers. -- Their sum is the perimeter of the scalene triangle.
Can a triangle have a negative side?
The sides of a triangle are its lengths are cannot be negative. However, you could place a triangle on coordinate system and some points where the vertices are could be negative numbers.
What is the perimeter of triangle which measures 6 8 10 inches?
24 inches You can find the perimeter of a triangle by adding the lengths of all three sides. In this case, since the triangle measures 6, 8, and 10 inches, its perimeter would be the sum of these numbers which is 24 inches.
How do you find the perimeter of triangle?
Find the lengths of the sides, and add up the three numbers.
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.
One of two numbers that can be both the area and perimeter of a triangle whose side lengths are a pythagorean triple?
For the 6:8:10 triangle, area = perimeter = 24. Also, for the 5:12:13 triangle, area = perimeter = 30. Whether these are indeed the only examples I am not sure. That would take some proving.
One of 2 numbers that can be both the area and perimeter of a triangle whose side lengths are a Pythagorean triple?
For the 6:8:10 triangle, area = perimeter = 24. Also, for the 5:12:13 triangle, area = perimeter = 30. Whether these are indeed the only examples I am not sure. That would take some proving.
How do find the perimeter of a triangle?
The easiest way is if you already have the lengths of all three sides of the triangle. In which case, you simply add their lengths together to acquire the perimeter. However, if you only have the lengths of two sides of a triangle, and it's a right triangle"; you can use the Pythagorean Theorem to determine the length of the third side. Note: Here are some quick definitions of terms that will be used in the following equations. A² will represent the height of the triangle. B² will represent the width of the triangle. C² will represent the hypotenuse of the triangle. The "Hypotenuse" is the longest side of a triangle. A "Right Triangle" is a triangle that has an angle measuring 90°. When using the Pythagorean Theorem; if you're attempting to find hypotenuse of a triangle; you use the formula "A² + B² = C²". That is; you square the two known sides; then add the products. Upon doing that, find the square root of the sum of both numbers, and you have the length of the hypotenuse. Upon finding the missing side's length; add the lengths of all three sides, and the resulting number will be the perimeter of the triangle. If you have the length of one side, and the hypotenuse of a right triangle; and are seeking to find the third side's length; you use the formula "C² - A² = B²" or "C² - B² = A²"; depending on which side your attempting to find the length of. Like in the previous equation, add the lengths of all three sides together to acquire the perimeter.
What is the perimeter of 3 5 11 2?
If those numbers are the lengths of the sides, just add them.
Which set of numbers represent the side lengths of an obtuse triangle?
Those ones, there!
What set of numbers represents the lengths of the sides of a right triangle?
They are Pythagorean triples
How do you find a right triangle when you have three numbers?
Three numbers may or may not define a right triangle. Also, the answer will depend on whether the three numbers are the lengths of sides or the measures of angles.
How do you determine if its a triangle by the lengths of the sides?
-- Each number has to be (more than the difference of the other two) but (less than their sum). -- Count the lengths of the sides. If you get to three and then run out of numbers, it's a triangle.
If Twenty nine is the shortest leg of a right triangle whose other leg and hypotenuse are consecutive whole numbers What is the sum of the lengths of the other two sides?
solve for 292 +x2= (x+1)2 (a2 +b2= c2)
