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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?
Wiki User
∙ 14y ago
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 that
3x - 6 = x + 22 (subtract x and add 6 to both sides)
3x - x + 6 - 6 = x - x + 6 + 22
2x = 28 (divide both sides by 2)
x = 14
Thus the longest side has a length of 14 units.
Wiki User
∙ 14y ago
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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.
How do you draw a shape with a 9cm perimeter?
Think about two numbers whose multiplication is 9 or simply think about the factors of 9. Factors of 9 are 3x3 Now see perimeter of rectangle is 2 times sum of length and breadth. Perimeter of rectangle is 4 times side. 2 and 4 are of the factors of 9. So the figure cannot be rectangle or square. Perimeter of triangle= Sum of all sides 9 = 1+3+5 =9 Hence it is possible to have a triangle with perimeter 9cm as there are various numbers whose addition could be 9. So the figure could be triangle.
The side lengths in a triangle are three consecutive whole numbers the perimeter is 24 what is the length of each side?
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)
How do you find the perimeter of mixed numbers?
you can only find the perimeter of shapes, honey, not fractions.
The product of which 3 consecutive odd numbers 6783?
17,19,21
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.
What is the longest number string that only consists of prime numbers?
The longest string of consecutive numbers that are primes is two digits long, consisting of 2 and 3 only. There are no other consecutive numbers that are primes because no even numbers greater than 2 are primes.
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 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.
What is the longest consecutive composite number?
There is no largest composite number. Nor is there a largest sequence of consecutive composite numbers - those sequences can become arbitrarily long.
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 you calculate the perimeter of a triangle?
-- Measure or calculate the length of one side. -- Measure or calculate the length of another side. -- Measure or calculate the length of the only remaining side. -- Add the three numbers. The sum is the perimeter of the triangle.
Two consecutive numbers are called what?
They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".
Are perimeter always even numbers?
No. One length could be 3 and the others three of a triangle. The total perimeter is 9 units, which is an odd number.
What is the result of combining two consecutive triangle numbers?
It is a perfect square. The sum of the n and n+1th triangular numbers is (n+1)2
What is the longest string of consecutive composite numbers?
when i did this problem i was doing a eratosthenes sieve method and the numbers was from 1-100 so i got the longest string of consecutive composite numbers on the grid are 74-82 this should be right. BTW I'm 13 doing my moms college work Sorry, but 79 is a prime number. I got 90~96
